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132056352 = 2533152843
BaseRepresentation
bin1111101111100…
…00010100100000
3100012111011021000
413313300110200
5232301300402
621034232000
73162313641
oct767602440
9305434230
10132056352
11685a698a
1238285600
132148876c
14137776c8
15b8d7c1c
hex7df0520

132056352 has 48 divisors (see below), whose sum is σ = 385166880. Its totient is φ = 44018496.

The previous prime is 132056347. The next prime is 132056359. The reversal of 132056352 is 253650231.

132056352 is a `hidden beast` number, since 1 + 3 + 20 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132056359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75558 + ... + 77285.

It is an arithmetic number, because the mean of its divisors is an integer number (8024310).

Almost surely, 2132056352 is an apocalyptic number.

132056352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132056352 is an abundant number, since it is smaller than the sum of its proper divisors (253110528).

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

132056352 is a wasteful number, since it uses less digits than its factorization.

132056352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152862 (or 152848 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132056352 is about 11491.5774374104. The cubic root of 132056352 is about 509.2367822858.

The spelling of 132056352 in words is "one hundred thirty-two million, fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 152843 305686 458529 611372 917058 1222744 1375587 1834116 2445488 2751174 3668232 4126761 4890976 5502348 7336464 8253522 11004696 14672928 16507044 22009392 33014088 44018784 66028176 132056352