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2680701480 = 233452293613
BaseRepresentation
bin1001111111001000…
…0100001000101000
320220211012202010000
42133302010020220
520442224421410
61122000423000
7123300405132
oct23762041050
96824182100
102680701480
111156205776
12629917a60
133394ba6c2
141b604c052
1510a521dc0
hex9fc84228

2680701480 has 160 divisors (see below), whose sum is σ = 9051985800. Its totient is φ = 711535104.

The previous prime is 2680701473. The next prime is 2680701487. The reversal of 2680701480 is 841070862.

It is an interprime number because it is at equal distance from previous prime (2680701473) and next prime (2680701487).

It can be written as a sum of positive squares in 4 ways, for example, as 1864685124 + 816016356 = 43182^2 + 28566^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2680701487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740154 + ... + 743766.

Almost surely, 22680701480 is an apocalyptic number.

2680701480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680701480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525992900).

2680701480 is an abundant number, since it is smaller than the sum of its proper divisors (6371284320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2680701480 is a wasteful number, since it uses less digits than its factorization.

2680701480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2680701480 is about 51775.4911130740. The cubic root of 2680701480 is about 1389.1510921664.

The spelling of 2680701480 in words is "two billion, six hundred eighty million, seven hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 229 270 324 360 405 458 540 648 687 810 916 1080 1145 1374 1620 1832 2061 2290 2748 3240 3435 3613 4122 4580 5496 6183 6870 7226 8244 9160 10305 10839 12366 13740 14452 16488 18065 18549 20610 21678 24732 27480 28904 30915 32517 36130 37098 41220 43356 49464 54195 61830 65034 72260 74196 82440 86712 92745 97551 108390 123660 130068 144520 148392 162585 185490 195102 216780 247320 260136 292653 325170 370980 390204 433560 487755 585306 650340 741960 780408 827377 975510 1170612 1300680 1463265 1654754 1951020 2341224 2482131 2926530 3309508 3902040 4136885 4964262 5853060 6619016 7446393 8273770 9928524 11706120 12410655 14892786 16547540 19857048 22339179 24821310 29785572 33095080 37231965 44678358 49642620 59571144 67017537 74463930 89356716 99285240 111695895 134035074 148927860 178713432 223391790 268070148 297855720 335087685 446783580 536140296 670175370 893567160 1340350740 2680701480