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996817960 = 23567433859
BaseRepresentation
bin111011011010100…
…011110000101000
32120110200121011201
4323122203300220
54020141133320
6242525133544
733462545545
oct7332436050
92513617151
10996817960
114717500a6
122399ba2b4
1312b694a18
149655dbcc
155c7a370a
hex3b6a3c28

996817960 has 64 divisors (see below), whose sum is σ = 2284228800. Its totient is φ = 391412736.

The previous prime is 996817951. The next prime is 996817973. The reversal of 996817960 is 69718699.

996817960 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 15 ways as a sum of consecutive naturals, for example, 1160011 + ... + 1160869.

It is an arithmetic number, because the mean of its divisors is an integer number (35691075).

Almost surely, 2996817960 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 996817960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142114400).

996817960 is an abundant number, since it is smaller than the sum of its proper divisors (1287410840).

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

996817960 is a wasteful number, since it uses less digits than its factorization.

996817960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The square root of 996817960 is about 31572.4240437759. The cubic root of 996817960 is about 998.9381929649.

The spelling of 996817960 in words is "nine hundred ninety-six million, eight hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 433 536 670 859 866 1340 1718 1732 2165 2680 3436 3464 4295 4330 6872 8590 8660 17180 17320 29011 34360 57553 58022 115106 116044 145055 230212 232088 287765 290110 371947 460424 575530 580220 743894 1151060 1160440 1487788 1859735 2302120 2975576 3719470 7438940 14877880 24920449 49840898 99681796 124602245 199363592 249204490 498408980 996817960