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132076332 = 2235177993
BaseRepresentation
bin1111101111101…
…01001100101100
3100012112011200000
413313311030230
5232302420312
621034504300
73162426123
oct767651454
9305464600
10132076332
116860a9a3
1238295090
132149489b
1413780aba
15b8ddadc
hex7df532c

132076332 has 72 divisors (see below), whose sum is σ = 366636816. Its totient is φ = 41430528.

The previous prime is 132076319. The next prime is 132076333. The reversal of 132076332 is 233670231.

132076332 is a `hidden beast` number, since 1 + 3 + 20 + 7 + 633 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132076296 and 132076305.

It is not an unprimeable number, because it can be changed into a prime (132076333) 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 23 ways as a sum of consecutive naturals, for example, 12528 + ... + 20520.

It is an arithmetic number, because the mean of its divisors is an integer number (5092178).

Almost surely, 2132076332 is an apocalyptic number.

132076332 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 132076332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183318408).

132076332 is an abundant number, since it is smaller than the sum of its proper divisors (234560484).

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

132076332 is a wasteful number, since it uses less digits than its factorization.

132076332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 132076332 is about 11492.4467368790. The cubic root of 132076332 is about 509.2624633370.

The spelling of 132076332 in words is "one hundred thirty-two million, seventy-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 7993 8262 15986 16524 23979 31972 47958 71937 95916 135881 143874 215811 271762 287748 407643 431622 543524 647433 815286 863244 1222929 1294866 1630572 1942299 2445858 2589732 3668787 3884598 4891716 7337574 7769196 11006361 14675148 22012722 33019083 44025444 66038166 132076332