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132013950 = 23526411373
BaseRepresentation
bin1111101111001…
…01111101111110
3100012102000002120
413313211331332
5232243421300
621033303410
73162046215
oct767457576
9305360076
10132013950
1168578042
1238264b66
1321472383
141376607c
15b8ca3a0
hex7de5f7e

132013950 has 48 divisors (see below), whose sum is σ = 328144176. Its totient is φ = 35123200.

The previous prime is 132013949. The next prime is 132013963. The reversal of 132013950 is 59310231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132013950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95464 + ... + 96836.

It is an arithmetic number, because the mean of its divisors is an integer number (6836337).

Almost surely, 2132013950 is an apocalyptic number.

132013950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132013950 is an abundant number, since it is smaller than the sum of its proper divisors (196130226).

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

132013950 is a wasteful number, since it uses less digits than its factorization.

132013950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 132013950 is about 11489.7323728623. The cubic root of 132013950 is about 509.1822728051.

The spelling of 132013950 in words is "one hundred thirty-two million, thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 641 1282 1373 1923 2746 3205 3846 4119 6410 6865 8238 9615 13730 16025 19230 20595 32050 34325 41190 48075 68650 96150 102975 205950 880093 1760186 2640279 4400465 5280558 8800930 13201395 22002325 26402790 44004650 66006975 132013950