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64532640 = 2535134443
BaseRepresentation
bin1111011000101…
…1000010100000
311111102121010210
43312023002200
5113010021030
610223054120
71412342544
oct366130240
9144377123
1064532640
1133477367
1219741340
13104a60c3
1487dba24
1559eabb0
hex3d8b0a0

64532640 has 48 divisors (see below), whose sum is σ = 203279328. Its totient is φ = 17208576.

The previous prime is 64532609. The next prime is 64532653. The reversal of 64532640 is 4623546.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 64532598 and 64532607.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66742 + ... + 67701.

It is an arithmetic number, because the mean of its divisors is an integer number (4234986).

Almost surely, 264532640 is an apocalyptic number.

64532640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64532640 is an abundant number, since it is smaller than the sum of its proper divisors (138746688).

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

64532640 is a wasteful number, since it uses less digits than its factorization.

64532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134461 (or 134453 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 64532640 is about 8033.2210227281. The cubic root of 64532640 is about 401.1066024212.

The spelling of 64532640 in words is "sixty-four million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 134443 268886 403329 537772 672215 806658 1075544 1344430 1613316 2016645 2151088 2688860 3226632 4033290 4302176 5377720 6453264 8066580 10755440 12906528 16133160 21510880 32266320 64532640