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996572160 = 21037589
BaseRepresentation
bin111011011001100…
…111110000000000
32120110020010000000
4323121213300000
54020110302120
6242520000000
733460503123
oct7331476000
92513203000
10996572160
114715a2461
12239900000
1312b609b8c
14964d83ba
155c755990
hex3b667c00

996572160 has 352 divisors, whose sum is σ = 3625646400. Its totient is φ = 262766592.

The previous prime is 996572149. The next prime is 996572167. The reversal of 996572160 is 61275699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996572167) 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, 11197396 + ... + 11197484.

Almost surely, 2996572160 is an apocalyptic number.

996572160 is a gapful number since it is divisible by the number (90) 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 996572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812823200).

996572160 is an abundant number, since it is smaller than the sum of its proper divisors (2629074240).

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

996572160 is an frugal number, since it uses more digits than its factorization.

996572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 996572160 is about 31568.5311663372. The cubic root of 996572160 is about 998.8560786095.

The spelling of 996572160 in words is "nine hundred ninety-six million, five hundred seventy-two thousand, one hundred sixty".