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165655980 = 223257731801
BaseRepresentation
bin10011101111110…
…11010110101100
3102112201012021200
421313323112230
5314401442410
624234325500
74051024020
oct1167732654
9375635250
10165655980
1185565876
1247589890
1328420cb9
1418002380
15e8233c0
hex9dfb5ac

165655980 has 144 divisors (see below), whose sum is σ = 582464064. Its totient is φ = 37324800.

The previous prime is 165655961. The next prime is 165655981. The reversal of 165655980 is 89556561.

It is a happy number.

165655980 is a `hidden beast` number, since 1 + 6 + 56 + 5 + 598 + 0 = 666.

165655980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165655981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91080 + ... + 92880.

Almost surely, 2165655980 is an apocalyptic number.

165655980 is a gapful number since it is divisible by the number (10) 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 165655980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291232032).

165655980 is an abundant number, since it is smaller than the sum of its proper divisors (416808084).

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

165655980 is a wasteful number, since it uses less digits than its factorization.

165655980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 165655980 is about 12870.7412373958. The cubic root of 165655980 is about 549.2065473430.

The spelling of 165655980 in words is "one hundred sixty-five million, six hundred fifty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 140 146 180 210 219 252 292 315 365 420 438 511 630 657 730 876 1022 1095 1260 1314 1460 1533 1801 2044 2190 2555 2628 3066 3285 3602 4380 4599 5110 5403 6132 6570 7204 7665 9005 9198 10220 10806 12607 13140 15330 16209 18010 18396 21612 22995 25214 27015 30660 32418 36020 37821 45990 50428 54030 63035 64836 75642 81045 91980 108060 113463 126070 131473 151284 162090 189105 226926 252140 262946 324180 378210 394419 453852 525892 567315 657365 756420 788838 920311 1134630 1183257 1314730 1577676 1840622 1972095 2269260 2366514 2629460 2760933 3681244 3944190 4601555 4733028 5521866 5916285 7888380 8282799 9203110 11043732 11832570 13804665 16565598 18406220 23665140 27609330 33131196 41413995 55218660 82827990 165655980