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132723840 = 273569127
BaseRepresentation
bin1111110100100…
…11010010000000
3100020202001212210
413322103102000
5232434130330
621100422120
73201063654
oct772232200
9306661783
10132723840
1168a12427
1238547940
1321660522
14138aca64
15b9ba8b0
hex7e93480

132723840 has 64 divisors (see below), whose sum is σ = 423063360. Its totient is φ = 35392512.

The previous prime is 132723827. The next prime is 132723841. The reversal of 132723840 is 48327231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132723798 and 132723807.

It is not an unprimeable number, because it can be changed into a prime (132723841) 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, 32644 + ... + 36483.

It is an arithmetic number, because the mean of its divisors is an integer number (6610365).

Almost surely, 2132723840 is an apocalyptic number.

132723840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132723840 is an abundant number, since it is smaller than the sum of its proper divisors (290339520).

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

132723840 is an equidigital number, since it uses as much as digits as its factorization.

132723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69149 (or 69137 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 132723840 is about 11520.5833185651. The cubic root of 132723840 is about 510.0933316310.

The spelling of 132723840 in words is "one hundred thirty-two million, seven hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 69127 138254 207381 276508 345635 414762 553016 691270 829524 1036905 1106032 1382540 1659048 2073810 2212064 2765080 3318096 4147620 4424128 5530160 6636192 8295240 8848256 11060320 13272384 16590480 22120640 26544768 33180960 44241280 66361920 132723840