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64757680 = 2451371877
BaseRepresentation
bin1111011100000…
…1111110110000
311111212000211121
43313001332300
5113034221210
610231552024
71414300621
oct367017660
9144760747
1064757680
1133610449
121982b614
1310554670
148859a48
155a426da
hex3dc1fb0

64757680 has 80 divisors (see below), whose sum is σ = 164614464. Its totient is φ = 23546880.

The previous prime is 64757677. The next prime is 64757687. The reversal of 64757680 is 8675746.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (64757687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73402 + ... + 74278.

Almost surely, 264757680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82307232).

64757680 is an abundant number, since it is smaller than the sum of its proper divisors (99856784).

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

64757680 is a wasteful number, since it uses less digits than its factorization.

64757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 64757680 is about 8047.2156675461. The cubic root of 64757680 is about 401.5723114935.

The spelling of 64757680 in words is "sixty-four million, seven hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 877 923 1040 1136 1420 1754 1846 2840 3508 3692 4385 4615 5680 7016 7384 8770 9230 11401 14032 14768 17540 18460 22802 35080 36920 45604 57005 62267 70160 73840 91208 114010 124534 182416 228020 249068 311335 456040 498136 622670 809471 912080 996272 1245340 1618942 2490680 3237884 4047355 4981360 6475768 8094710 12951536 16189420 32378840 64757680