Search a number
-
+
2700280660 = 2257114737307
BaseRepresentation
bin1010000011110011…
…0000001101010100
320222012001110200211
42200330300031110
521012232440120
61123540215204
7123626002240
oct24074601524
96865043624
102700280660
111166268910
1263439a504
1334058440c
141b88a7420
1510c0dd25a
hexa0f30354

2700280660 has 96 divisors (see below), whose sum is σ = 7220441088. Its totient is φ = 823716480.

The previous prime is 2700280633. The next prime is 2700280679. The reversal of 2700280660 is 660820072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53727 + ... + 91033.

It is an arithmetic number, because the mean of its divisors is an integer number (75212928).

Almost surely, 22700280660 is an apocalyptic number.

2700280660 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 2700280660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610220544).

2700280660 is an abundant number, since it is smaller than the sum of its proper divisors (4520160428).

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

2700280660 is a wasteful number, since it uses less digits than its factorization.

2700280660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37381 (or 37379 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2700280660 is about 51964.2248089972. The cubic root of 2700280660 is about 1392.5248968685.

The spelling of 2700280660 in words is "two billion, seven hundred million, two hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 37307 72380 74614 149228 186535 261149 373070 410377 522298 746140 820754 1044596 1305745 1641508 1753429 2051885 2611490 2872639 3506858 4103770 5222980 5745278 7013716 8207540 8767145 11490556 12274003 14363195 17534290 19287719 24548006 28726390 35068580 38575438 49096012 57452780 61370015 77150876 96438595 122740030 135014033 192877190 245480060 270028066 385754380 540056132 675070165 1350140330 2700280660