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166630872 = 233171492741
BaseRepresentation
bin10011110111010…
…01010111011000
3102121112201120210
421323221113120
5320124141442
624311251120
74062224202
oct1173512730
9377481523
10166630872
1186071271
1247979aa0
13286a2965
14181b7772
15e96719c
hex9ee95d8

166630872 has 64 divisors (see below), whose sum is σ = 444204000. Its totient is φ = 51906560.

The previous prime is 166630813. The next prime is 166630879. The reversal of 166630872 is 278036661.

It is a self number, because there is not a number n which added to its sum of digits gives 166630872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166630879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59422 + ... + 62162.

Almost surely, 2166630872 is an apocalyptic number.

166630872 is a gapful number since it is divisible by the number (12) 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 166630872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222102000).

166630872 is an abundant number, since it is smaller than the sum of its proper divisors (277573128).

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

166630872 is a wasteful number, since it uses less digits than its factorization.

166630872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 166630872 is about 12908.5580914369. The cubic root of 166630872 is about 550.2818081999.

The spelling of 166630872 in words is "one hundred sixty-six million, six hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 149 204 298 408 447 596 894 1192 1788 2533 2741 3576 5066 5482 7599 8223 10132 10964 15198 16446 20264 21928 30396 32892 46597 60792 65784 93194 139791 186388 279582 372776 408409 559164 816818 1118328 1225227 1633636 2450454 3267272 4900908 6942953 9801816 13885906 20828859 27771812 41657718 55543624 83315436 166630872