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996031680 = 263571929269
BaseRepresentation
bin111011010111100…
…011110011000000
32120102012122121020
4323113203303000
54014441003210
6242500225440
733453062310
oct7327436300
92512178536
10996031680
11471263386
1223969b280
1312b47ab77
14963d7440
155c69a770
hex3b5e3cc0

996031680 has 448 divisors, whose sum is σ = 3950208000. Its totient is φ = 207470592.

The previous prime is 996031669. The next prime is 996031693. The reversal of 996031680 is 86130699.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3702586 + ... + 3702854.

Almost surely, 2996031680 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 996031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

996031680 is an abundant number, since it is smaller than the sum of its proper divisors (2954176320).

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

996031680 is a wasteful number, since it uses less digits than its factorization.

996031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 996031680 is about 31559.9695817344. The cubic root of 996031680 is about 998.6754730696.

The spelling of 996031680 in words is "nine hundred ninety-six million, thirty-one thousand, six hundred eighty".