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165660132 = 223112271421
BaseRepresentation
bin10011101111111…
…00010111100100
3102112201101222110
421313330113210
5314402111012
624234401020
74051042101
oct1167742744
9375641873
10165660132
1185568a00
1247590170
1328422b61
1418003aa8
15e82473c
hex9dfc5e4

165660132 has 72 divisors (see below), whose sum is σ = 427455616. Its totient is φ = 49896000.

The previous prime is 165660119. The next prime is 165660163. The reversal of 165660132 is 231066561.

It is a self number, because there is not a number n which added to its sum of digits gives 165660132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393282 + ... + 393702.

Almost surely, 2165660132 is an apocalyptic number.

165660132 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 165660132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213727808).

165660132 is an abundant number, since it is smaller than the sum of its proper divisors (261795484).

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

165660132 is a wasteful number, since it uses less digits than its factorization.

165660132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 165660132 is about 12870.9025324567. The cubic root of 165660132 is about 549.2111357407.

The spelling of 165660132 in words is "one hundred sixty-five million, six hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 271 363 421 484 542 726 813 842 1084 1263 1452 1626 1684 2526 2981 3252 4631 5052 5962 8943 9262 11924 13893 17886 18524 27786 32791 35772 50941 55572 65582 98373 101882 114091 131164 152823 196746 203764 228182 305646 342273 393492 456364 611292 684546 1255001 1369092 2510002 3765003 5020004 7530006 13805011 15060012 27610022 41415033 55220044 82830066 165660132