Search a number
-
+
3107169936 = 2433131673313
BaseRepresentation
bin1011100100110011…
…1010011010010000
322000112200120212000
42321030322122100
522330413414221
61232153234000
7136666336323
oct27114723220
98015616760
103107169936
111354a09842
12728702900
133a69686c0
142169427ba
15132bb2e26
hexb933a690

3107169936 has 160 divisors (see below), whose sum is σ = 9665214720. Its totient is φ = 950040576.

The previous prime is 3107169931. The next prime is 3107169937. The reversal of 3107169936 is 6399617013.

It is a super-2 number, since 2×31071699362 = 19309010022364488192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3107169891 and 3107169900.

It is not an unprimeable number, because it can be changed into a prime (3107169931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936216 + ... + 939528.

It is an arithmetic number, because the mean of its divisors is an integer number (60407592).

Almost surely, 23107169936 is an apocalyptic number.

3107169936 is a gapful number since it is divisible by the number (36) 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 3107169936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832607360).

3107169936 is an abundant number, since it is smaller than the sum of its proper divisors (6558044784).

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

3107169936 is a wasteful number, since it uses less digits than its factorization.

3107169936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3107169936 is about 55741.9943669044. The cubic root of 3107169936 is about 1459.2230080990.

The spelling of 3107169936 in words is "three billion, one hundred seven million, one hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 167 208 216 234 312 334 351 432 468 501 624 668 702 936 1002 1336 1404 1503 1872 2004 2171 2672 2808 3006 3313 4008 4342 4509 5616 6012 6513 6626 8016 8684 9018 9939 12024 13026 13252 17368 18036 19539 19878 24048 26052 26504 29817 34736 36072 39078 39756 43069 52104 53008 58617 59634 72144 78156 79512 86138 89451 104208 117234 119268 129207 156312 159024 172276 178902 234468 238536 258414 312624 344552 357804 387621 468936 477072 516828 553271 689104 715608 775242 937872 1033656 1106542 1162863 1431216 1550484 1659813 2067312 2213084 2325726 3100968 3319626 4426168 4651452 4979439 6201936 6639252 7192523 8852336 9302904 9958878 13278504 14385046 14938317 18605808 19917756 21577569 26557008 28770092 29876634 39835512 43155138 57540184 59753268 64732707 79671024 86310276 115080368 119506536 129465414 172620552 194198121 239013072 258930828 345241104 388396242 517861656 776792484 1035723312 1553584968 3107169936