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165112020 = 22345101921
BaseRepresentation
bin10011101011101…
…10100011010100
3102111200120010000
421311312203110
5314232041040
624214531300
74043300103
oct1165664324
9374616100
10165112020
1185224117
1247366b30
1328290528
1417d0003a
15e767130
hex9d768d4

165112020 has 60 divisors (see below), whose sum is σ = 517967604. Its totient is φ = 44029440.

The previous prime is 165111997. The next prime is 165112037. The reversal of 165112020 is 20211561.

165112020 is a `hidden beast` number, since 1 + 651 + 12 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 143712144 = 4626^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 165111984 and 165112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49341 + ... + 52580.

Almost surely, 2165112020 is an apocalyptic number.

165112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165112020 is an abundant number, since it is smaller than the sum of its proper divisors (352855584).

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

165112020 is a wasteful number, since it uses less digits than its factorization.

165112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101942 (or 101931 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 165112020 is about 12849.5922114283. The cubic root of 165112020 is about 548.6047499988.

Adding to 165112020 its reverse (20211561), we get a palindrome (185323581).

The spelling of 165112020 in words is "one hundred sixty-five million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 101921 203842 305763 407684 509605 611526 917289 1019210 1223052 1528815 1834578 2038420 2751867 3057630 3669156 4586445 5503734 6115260 8255601 9172890 11007468 13759335 16511202 18345780 27518670 33022404 41278005 55037340 82556010 165112020