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132685920 = 2532592143
BaseRepresentation
bin1111110100010…
…10000001100000
3100020200010212100
413322022001200
5232431422140
621055530400
73200545263
oct772120140
9306603770
10132685920
1168996994
1238529a00
13216491a3
141389ccda
15b9ae530
hex7e8a060

132685920 has 72 divisors (see below), whose sum is σ = 452795616. Its totient is φ = 35382528.

The previous prime is 132685909. The next prime is 132685957. The reversal of 132685920 is 29586231.

132685920 is a `hidden beast` number, since 1 + 3 + 2 + 68 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44632 + ... + 47511.

It is an arithmetic number, because the mean of its divisors is an integer number (6288828).

Almost surely, 2132685920 is an apocalyptic number.

132685920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132685920 is an abundant number, since it is smaller than the sum of its proper divisors (320109696).

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

132685920 is a wasteful number, since it uses less digits than its factorization.

132685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92164 (or 92153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132685920 is about 11518.9374509978. The cubic root of 132685920 is about 510.0447480921.

The spelling of 132685920 in words is "one hundred thirty-two million, six hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 92143 184286 276429 368572 460715 552858 737144 829287 921430 1105716 1382145 1474288 1658574 1842860 2211432 2764290 2948576 3317148 3685720 4146435 4422864 5528580 6634296 7371440 8292870 8845728 11057160 13268592 14742880 16585740 22114320 26537184 33171480 44228640 66342960 132685920