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132715032 = 23341134873
BaseRepresentation
bin1111110100100…
…01001000011000
3100020201121210120
413322101020120
5232433340112
621100313240
73201026202
oct772211030
9306647716
10132715032
1168a0684a
1238542820
1321659508
14138a9772
15b9b7e8c
hex7e91218

132715032 has 32 divisors (see below), whose sum is σ = 339882480. Its totient is φ = 43159040.

The previous prime is 132715031. The next prime is 132715043. The reversal of 132715032 is 230517231.

It is a super-2 number, since 2×1327150322 = 35226559437522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132714993 and 132715011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132715031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66453 + ... + 68420.

Almost surely, 2132715032 is an apocalyptic number.

132715032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132715032 is an abundant number, since it is smaller than the sum of its proper divisors (207167448).

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

132715032 is a wasteful number, since it uses less digits than its factorization.

132715032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134923 (or 134919 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 132715032 is about 11520.2010399125. The cubic root of 132715032 is about 510.0820475456.

The spelling of 132715032 in words is "one hundred thirty-two million, seven hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 134873 269746 404619 539492 809238 1078984 1618476 3236952 5529793 11059586 16589379 22119172 33178758 44238344 66357516 132715032