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132062920 = 235111915797
BaseRepresentation
bin1111101111100…
…01111011001000
3100012111111021021
413313301323020
5232302003140
621034322224
73162342043
oct767617310
9305444237
10132062920
1168600910
1238289374
132148b752
1413779c5a
15b8d9b4a
hex7df1ec8

132062920 has 64 divisors (see below), whose sum is σ = 341236800. Its totient is φ = 45492480.

The previous prime is 132062873. The next prime is 132062923. The reversal of 132062920 is 29260231.

It is a happy number.

It is a super-2 number, since 2×1320629202 = 34881229677852800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132062923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462 + ... + 16258.

It is an arithmetic number, because the mean of its divisors is an integer number (5331825).

Almost surely, 2132062920 is an apocalyptic number.

132062920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132062920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170618400).

132062920 is an abundant number, since it is smaller than the sum of its proper divisors (209173880).

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

132062920 is a wasteful number, since it uses less digits than its factorization.

132062920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 132062920 is about 11491.8632083749. The cubic root of 132062920 is about 509.2452246709.

The spelling of 132062920 in words is "one hundred thirty-two million, sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 15797 31594 63188 78985 126376 157970 173767 300143 315940 347534 600286 631880 695068 868835 1200572 1390136 1500715 1737670 2401144 3001430 3301573 3475340 6002860 6603146 6950680 12005720 13206292 16507865 26412584 33015730 66031460 132062920