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99432960 = 2935112107
BaseRepresentation
bin1011110110100…
…11101000000000
320221002201101020
411323103220000
5200423323320
613511105440
72315111004
oct573235000
9227081336
1099432960
1151144500
1229372280
13177a5693
14d2c4704
158ae1940
hex5ed3a00

99432960 has 240 divisors, whose sum is σ = 352664928. Its totient is φ = 23879680.

The previous prime is 99432943. The next prime is 99432973. The reversal of 99432960 is 6923499.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929227 + ... + 929333.

Almost surely, 299432960 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 99432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

99432960 is an abundant number, since it is smaller than the sum of its proper divisors (253231968).

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

99432960 is a wasteful number, since it uses less digits than its factorization.

99432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 99432960 is about 9971.6076938476. The cubic root of 99432960 is about 463.2798976843.

The spelling of 99432960 in words is "ninety-nine million, four hundred thirty-two thousand, nine hundred sixty".