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132536052 = 223211477121
BaseRepresentation
bin1111110011001…
…01011011110100
3100020101112021200
413321211123310
5232412123202
621052412500
73166352325
oct771453364
9306345250
10132536052
11688a4330
1238477130
13215c5bcc
141386044c
15b97ee1c
hex7e656f4

132536052 has 72 divisors (see below), whose sum is σ = 373306752. Its totient is φ = 39302400.

The previous prime is 132536017. The next prime is 132536101. The reversal of 132536052 is 250635231.

132536052 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 605 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15052 + ... + 22172.

It is an arithmetic number, because the mean of its divisors is an integer number (5184816).

Almost surely, 2132536052 is an apocalyptic number.

132536052 is a gapful number since it is divisible by the number (12) 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 132536052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186653376).

132536052 is an abundant number, since it is smaller than the sum of its proper divisors (240770700).

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

132536052 is a wasteful number, since it uses less digits than its factorization.

132536052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7184 counting only the distinct ones).

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

The square root of 132536052 is about 11512.4303255221. The cubic root of 132536052 is about 509.8526448564.

The spelling of 132536052 in words is "one hundred thirty-two million, five hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 7121 9306 14242 18612 21363 28484 42726 64089 78331 85452 128178 156662 234993 256356 313324 334687 469986 669374 704979 939972 1004061 1338748 1409958 2008122 2819916 3012183 3681557 4016244 6024366 7363114 11044671 12048732 14726228 22089342 33134013 44178684 66268026 132536052