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132753740 = 22572135463
BaseRepresentation
bin1111110100110…
…10100101001100
3100020210120220012
413322122211030
5232441104430
621101212352
73201250100
oct772324514
9306716805
10132753740
1168a32939
12385610b8
1321671012
14138b9900
15b9c4695
hex7e9a94c

132753740 has 36 divisors (see below), whose sum is σ = 324300816. Its totient is φ = 45515232.

The previous prime is 132753737. The next prime is 132753767. The reversal of 132753740 is 47357231.

It is a junction number, because it is equal to n+sod(n) for n = 132753697 and 132753706.

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, 66752 + ... + 68711.

It is an arithmetic number, because the mean of its divisors is an integer number (9008356).

Almost surely, 2132753740 is an apocalyptic number.

132753740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132753740 is an abundant number, since it is smaller than the sum of its proper divisors (191547076).

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

132753740 is a wasteful number, since it uses less digits than its factorization.

132753740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135486 (or 135477 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 132753740 is about 11521.8809228355. The cubic root of 132753740 is about 510.1316333294.

The spelling of 132753740 in words is "one hundred thirty-two million, seven hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 135463 270926 541852 677315 948241 1354630 1896482 2709260 3792964 4741205 6637687 9482410 13275374 18964820 26550748 33188435 66376870 132753740