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969714096 = 243131989919
BaseRepresentation
bin111001110011001…
…010100110110000
32111120200120122220
4321303022212300
53441221322341
6240120201040
733013301541
oct7163124660
92446616586
10969714096
1145841860a
12230909180
13125b95030
1492b064c8
155a1eca66
hex39cca9b0

969714096 has 160 divisors (see below), whose sum is σ = 2874816000. Its totient is φ = 279189504.

The previous prime is 969714073. The next prime is 969714103. The reversal of 969714096 is 690417969.

969714096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054725 + ... + 1055643.

It is an arithmetic number, because the mean of its divisors is an integer number (17967600).

Almost surely, 2969714096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969714096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437408000).

969714096 is an abundant number, since it is smaller than the sum of its proper divisors (1905101904).

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

969714096 is a wasteful number, since it uses less digits than its factorization.

969714096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 969714096 is about 31140.2327544288. The cubic root of 969714096 is about 989.8010333749.

The spelling of 969714096 in words is "nine hundred sixty-nine million, seven hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 89 104 114 152 156 178 208 228 247 267 304 312 356 456 494 534 624 712 741 912 919 988 1068 1157 1424 1482 1691 1838 1976 2136 2314 2757 2964 3382 3471 3676 3952 4272 4628 5073 5514 5928 6764 6942 7352 9256 10146 11028 11856 11947 13528 13884 14704 17461 18512 20292 21983 22056 23894 27056 27768 34922 35841 40584 43966 44112 47788 52383 55536 65949 69844 71682 81168 81791 87932 95576 104766 131898 139688 143364 163582 175864 191152 209532 226993 245373 263796 279376 286728 327164 351728 419064 453986 490746 527592 573456 654328 680979 838128 907972 981492 1055184 1063283 1308656 1361958 1554029 1815944 1962984 2126566 2723916 3108058 3189849 3631888 3925968 4253132 4662087 5447832 6216116 6379698 8506264 9324174 10895664 12432232 12759396 17012528 18648348 20202377 24864464 25518792 37296696 40404754 51037584 60607131 74593392 80809508 121214262 161619016 242428524 323238032 484857048 969714096