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132065120 = 2551175037
BaseRepresentation
bin1111101111100…
…10011101100000
3100012111121021202
413313302131200
5232302040440
621034340332
73162351335
oct767623540
9305447252
10132065120
1168602530
123828a6a8
132148c755
141377a98c
15b8da615
hex7df2760

132065120 has 48 divisors (see below), whose sum is σ = 340372368. Its totient is φ = 48023040.

The previous prime is 132065119. The next prime is 132065179. The reversal of 132065120 is 21560231.

It is a super-2 number, since 2×1320651202 = 34882391841228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132065092 and 132065101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35759 + ... + 39278.

It is an arithmetic number, because the mean of its divisors is an integer number (7091091).

Almost surely, 2132065120 is an apocalyptic number.

132065120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132065120 is an abundant number, since it is smaller than the sum of its proper divisors (208307248).

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

132065120 is a wasteful number, since it uses less digits than its factorization.

132065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75063 (or 75055 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 132065120 is about 11491.9589278765. The cubic root of 132065120 is about 509.2480524474.

The spelling of 132065120 in words is "one hundred thirty-two million, sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 75037 150074 300148 375185 600296 750370 825407 1200592 1500740 1650814 2401184 3001480 3301628 4127035 6002960 6603256 8254070 12005920 13206512 16508140 26413024 33016280 66032560 132065120