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166630416 = 24347233317
BaseRepresentation
bin10011110111010…
…01010000010000
3102121112200221220
421323221100100
5320124133131
624311245040
74062222651
oct1173512020
9377480856
10166630416
1186070997
1247979780
13286a26a4
14181b7528
15e966e96
hex9ee9410

166630416 has 80 divisors (see below), whose sum is σ = 442900224. Its totient is φ = 53957632.

The previous prime is 166630411. The next prime is 166630427. The reversal of 166630416 is 614036661.

It is not an unprimeable number, because it can be changed into a prime (166630411) 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, 525490 + ... + 525806.

Almost surely, 2166630416 is an apocalyptic number.

166630416 is a gapful number since it is divisible by the number (16) 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 166630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221450112).

166630416 is an abundant number, since it is smaller than the sum of its proper divisors (276269808).

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

166630416 is a wasteful number, since it uses less digits than its factorization.

166630416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 166630416 is about 12908.5404287239. The cubic root of 166630416 is about 550.2813062347.

The spelling of 166630416 in words is "one hundred sixty-six million, six hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 233 282 317 376 466 564 634 699 752 932 951 1128 1268 1398 1864 1902 2256 2536 2796 3728 3804 5072 5592 7608 10951 11184 14899 15216 21902 29798 32853 43804 44697 59596 65706 73861 87608 89394 119192 131412 147722 175216 178788 221583 238384 262824 295444 357576 443166 525648 590888 715152 886332 1181776 1772664 3471467 3545328 6942934 10414401 13885868 20828802 27771736 41657604 55543472 83315208 166630416