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132607332 = 2232111325759
BaseRepresentation
bin1111110011101…
…10110101100100
3100020112011001200
413321312311210
5232421413312
621054122500
73200100204
oct771666544
9306464050
10132607332
1168942940
12384b0430
132161c4a0
141387c404
15b9960dc
hex7e76d64

132607332 has 72 divisors (see below), whose sum is σ = 393818880. Its totient is φ = 37091520.

The previous prime is 132607309. The next prime is 132607333. The reversal of 132607332 is 233706231.

132607332 is a `hidden beast` number, since 1 + 326 + 0 + 7 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132607296 and 132607305.

It is not an unprimeable number, because it can be changed into a prime (132607333) 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, 7732 + ... + 18027.

Almost surely, 2132607332 is an apocalyptic number.

132607332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132607332 is an abundant number, since it is smaller than the sum of its proper divisors (261211548).

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

132607332 is a wasteful number, since it uses less digits than its factorization.

132607332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25793 (or 25788 counting only the distinct ones).

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

The square root of 132607332 is about 11515.5256936017. The cubic root of 132607332 is about 509.9440307668.

The spelling of 132607332 in words is "one hundred thirty-two million, six hundred seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 25759 51518 77277 103036 154554 231831 283349 309108 334867 463662 566698 669734 850047 927324 1004601 1133396 1339468 1700094 2009202 2550141 3013803 3400188 3683537 4018404 5100282 6027606 7367074 10200564 11050611 12055212 14734148 22101222 33151833 44202444 66303666 132607332