Search a number
-
+
2406652620 = 2235531634643
BaseRepresentation
bin1000111101110010…
…1001101011001100
320012201112121202020
42033130221223030
514412100340440
61034450530140
7113432131641
oct21734515314
96181477666
102406652620
111025546809
12571b96950
132c47a7a08
1418b8b1dc8
15e143c3d0
hex8f729acc

2406652620 has 96 divisors (see below), whose sum is σ = 6909380352. Its totient is φ = 625667328.

The previous prime is 2406652601. The next prime is 2406652639. The reversal of 2406652620 is 262566042.

It is an interprime number because it is at equal distance from previous prime (2406652601) and next prime (2406652639).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516019 + ... + 520661.

It is an arithmetic number, because the mean of its divisors is an integer number (71972712).

Almost surely, 22406652620 is an apocalyptic number.

2406652620 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 2406652620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454690176).

2406652620 is an abundant number, since it is smaller than the sum of its proper divisors (4502727732).

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

2406652620 is a wasteful number, since it uses less digits than its factorization.

2406652620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2406652620 is about 49057.6458872621. The cubic root of 2406652620 is about 1340.1018375117.

The spelling of 2406652620 in words is "two billion, four hundred six million, six hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 163 212 265 318 326 489 530 636 652 795 815 978 1060 1590 1630 1956 2445 3180 3260 4643 4890 8639 9286 9780 13929 17278 18572 23215 25917 27858 34556 43195 46430 51834 55716 69645 86390 92860 103668 129585 139290 172780 246079 259170 278580 492158 518340 738237 756809 984316 1230395 1476474 1513618 2270427 2460790 2952948 3027236 3691185 3784045 4540854 4921580 7382370 7568090 9081708 11352135 14764740 15136180 22704270 40110877 45408540 80221754 120332631 160443508 200554385 240665262 401108770 481330524 601663155 802217540 1203326310 2406652620