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132525414 = 23271051789
BaseRepresentation
bin1111110011000…
…10110101100110
3100020100222200200
413321202311212
5232411303124
621052251330
73166306320
oct771426546
9306328620
10132525414
116889733a
1238470b46
13215c1108
141385a610
15b97bbc9
hex7e62d66

132525414 has 24 divisors (see below), whose sum is σ = 328158480. Its totient is φ = 37864368.

The previous prime is 132525373. The next prime is 132525451. The reversal of 132525414 is 414525231.

132525414 is a `hidden beast` number, since 132 + 525 + 4 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525769 + ... + 526020.

It is an arithmetic number, because the mean of its divisors is an integer number (13673270).

Almost surely, 2132525414 is an apocalyptic number.

132525414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132525414 is an abundant number, since it is smaller than the sum of its proper divisors (195633066).

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

132525414 is a wasteful number, since it uses less digits than its factorization.

132525414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051804 (or 1051801 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 132525414 is about 11511.9682939105. The cubic root of 132525414 is about 509.8390033919.

The spelling of 132525414 in words is "one hundred thirty-two million, five hundred twenty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1051789 2103578 3155367 6310734 7362523 9466101 14725046 18932202 22087569 44175138 66262707 132525414