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232104960 = 2103352373
BaseRepresentation
bin11011101010110…
…10010000000000
3121011202011011000
431311122100000
5433404324320
635010452000
75515600563
oct1565322000
9534664130
10232104960
1110a02098a
1265894000
1339118419
1422b7c4da
151559bc90
hexdd5a400

232104960 has 352 divisors, whose sum is σ = 872513280. Its totient is φ = 58392576.

The previous prime is 232104953. The next prime is 232104973. The reversal of 232104960 is 69401232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179484 + ... + 3179556.

Almost surely, 2232104960 is an apocalyptic number.

232104960 is a gapful number since it is divisible by the number (20) 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 232104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436256640).

232104960 is an abundant number, since it is smaller than the sum of its proper divisors (640408320).

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

232104960 is a wasteful number, since it uses less digits than its factorization.

232104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 232104960 is about 15234.9913029184. The cubic root of 232104960 is about 614.5560150671.

The spelling of 232104960 in words is "two hundred thirty-two million, one hundred four thousand, nine hundred sixty".