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132463320 = 233511175903
BaseRepresentation
bin1111110010100…
…11101011011000
3100020020211111220
413321103223120
5232402311240
621051052040
73165630303
oct771235330
9306224456
10132463320
1168854720
1238441020
132159ba82
1413841b3a
15b9685d0
hex7e53ad8

132463320 has 128 divisors (see below), whose sum is σ = 459095040. Its totient is φ = 30218240.

The previous prime is 132463313. The next prime is 132463321. The reversal of 132463320 is 23364231.

It is a super-2 number, since 2×1324633202 = 35093062290844800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132463321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19489 + ... + 25391.

It is an arithmetic number, because the mean of its divisors is an integer number (3586680).

Almost surely, 2132463320 is an apocalyptic number.

132463320 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 132463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229547520).

132463320 is an abundant number, since it is smaller than the sum of its proper divisors (326631720).

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

132463320 is a wasteful number, since it uses less digits than its factorization.

132463320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 132463320 is about 11509.2710455528. The cubic root of 132463320 is about 509.7593636011.

The spelling of 132463320 in words is "one hundred thirty-two million, four hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 5903 7480 11220 11806 17709 22440 23612 29515 35418 47224 59030 64933 70836 88545 100351 118060 129866 141672 177090 194799 200702 236120 259732 301053 324665 354180 389598 401404 501755 519464 602106 649330 708360 779196 802808 973995 1003510 1103861 1204212 1298660 1505265 1558392 1947990 2007020 2207722 2408424 2597320 3010530 3311583 3895980 4014040 4415444 5519305 6021060 6623166 7791960 8830888 11038610 12042120 13246332 16557915 22077220 26492664 33115830 44154440 66231660 132463320