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132667520 = 275207293
BaseRepresentation
bin1111110100001…
…01100010000000
3100020122012121212
413322011202000
5232430330040
621055305252
73200440526
oct772054200
9306565555
10132667520
1168984087
123851b228
13216409bb
1413896316
15b9a8d65
hex7e85880

132667520 has 32 divisors (see below), whose sum is σ = 317159820. Its totient is φ = 53066752.

The previous prime is 132667517. The next prime is 132667523. The reversal of 132667520 is 25766231.

It is an interprime number because it is at equal distance from previous prime (132667517) and next prime (132667523).

It can be written as a sum of positive squares in 2 ways, for example, as 132526144 + 141376 = 11512^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (132667523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103007 + ... + 104286.

Almost surely, 2132667520 is an apocalyptic number.

132667520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132667520 is an abundant number, since it is smaller than the sum of its proper divisors (184492300).

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

132667520 is an equidigital number, since it uses as much as digits as its factorization.

132667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207312 (or 207300 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 132667520 is about 11518.1387385289. The cubic root of 132667520 is about 510.0211704655.

The spelling of 132667520 in words is "one hundred thirty-two million, six hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 207293 414586 829172 1036465 1658344 2072930 3316688 4145860 6633376 8291720 13266752 16583440 26533504 33166880 66333760 132667520