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132714540 = 223257241367
BaseRepresentation
bin1111110100100…
…01000000101100
3100020201121010100
413322101000230
5232433331130
621100311100
73201024600
oct772210054
9306647110
10132714540
1168a06442
1238542490
132165921a
14138a9500
15b9b7c60
hex7e9102c

132714540 has 216 divisors, whose sum is σ = 481021632. Its totient is φ = 29514240.

The previous prime is 132714509. The next prime is 132714553. The reversal of 132714540 is 45417231.

It is a super-2 number, since 2×1327145402 = 35226298254823200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361437 + ... + 361803.

It is an arithmetic number, because the mean of its divisors is an integer number (2226952).

Almost surely, 2132714540 is an apocalyptic number.

132714540 is a gapful number since it is divisible by the number (10) 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 132714540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240510816).

132714540 is an abundant number, since it is smaller than the sum of its proper divisors (348307092).

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

132714540 is a wasteful number, since it uses less digits than its factorization.

132714540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 132714540 is about 11520.1796860987. The cubic root of 132714540 is about 510.0814172209.

The spelling of 132714540 in words is "one hundred thirty-two million, seven hundred fourteen thousand, five hundred forty".