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132054120 = 233251133347
BaseRepresentation
bin1111101111011…
…11110001101000
3100012111001012100
413313233301220
5232301212440
621034213400
73162304302
oct767576150
9305431170
10132054120
11685a5240
1238284260
1321487743
1413776972
15b8d7230
hex7defc68

132054120 has 96 divisors (see below), whose sum is σ = 468205920. Its totient is φ = 32012160.

The previous prime is 132054077. The next prime is 132054121. The reversal of 132054120 is 21450231.

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

132054120 is a modest number, since divided by 54120 gives 1320 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 132054093 and 132054102.

It is not an unprimeable number, because it can be changed into a prime (132054121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12714 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (4877145).

Almost surely, 2132054120 is an apocalyptic number.

132054120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132054120 is an abundant number, since it is smaller than the sum of its proper divisors (336151800).

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

132054120 is a wasteful number, since it uses less digits than its factorization.

132054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33375 (or 33368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132054120 is about 11491.4803223954. The cubic root of 132054120 is about 509.2339132508.

The spelling of 132054120 in words is "one hundred thirty-two million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 33347 66694 100041 133388 166735 200082 266776 300123 333470 366817 400164 500205 600246 666940 733634 800328 1000410 1100451 1200492 1333880 1467268 1500615 1834085 2000820 2200902 2400984 2934536 3001230 3301353 3668170 4001640 4401804 5502255 6002460 6602706 7336340 8803608 11004510 12004920 13205412 14672680 16506765 22009020 26410824 33013530 44018040 66027060 132054120