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64532520 = 233251313789
BaseRepresentation
bin1111011000101…
…1000000101000
311111102120222100
43312023000220
5113010020040
610223053400
71412342313
oct366130050
9144376870
1064532520
1133477268
1219741260
13104a6030
1487db97a
1559eab30
hex3d8b028

64532520 has 96 divisors (see below), whose sum is σ = 225880200. Its totient is φ = 15883776.

The previous prime is 64532519. The next prime is 64532521. The reversal of 64532520 is 2523546.

It is an interprime number because it is at equal distance from previous prime (64532519) and next prime (64532521).

It can be written as a sum of positive squares in 4 ways, for example, as 56881764 + 7650756 = 7542^2 + 2766^2 .

It is a super-2 number, since 2×645325202 = 8328892275100800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64532521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2215 + ... + 11574.

Almost surely, 264532520 is an apocalyptic number.

64532520 is a gapful number since it is divisible by the number (60) 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 64532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112940100).

64532520 is an abundant number, since it is smaller than the sum of its proper divisors (161347680).

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

64532520 is a wasteful number, since it uses less digits than its factorization.

64532520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 64532520 is about 8033.2135537405. The cubic root of 64532520 is about 401.1063537986.

The spelling of 64532520 in words is "sixty-four million, five hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 13789 27578 41367 55156 68945 82734 110312 124101 137890 165468 179257 206835 248202 275780 330936 358514 413670 496404 537771 551560 620505 717028 827340 896285 992808 1075542 1241010 1434056 1613313 1654680 1792570 2151084 2482020 2688855 3226626 3585140 4302168 4964040 5377710 6453252 7170280 8066565 10755420 12906504 16133130 21510840 32266260 64532520