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64740456 = 233211431901
BaseRepresentation
bin1111011011110…
…1110001101000
311111211011012200
43312331301220
5113033143311
610231340200
71414166454
oct366756150
9144734180
1064740456
11335a9510
1219821660
1310549881
148853664
155a3c556
hex3dbdc68

64740456 has 96 divisors (see below), whose sum is σ = 195829920. Its totient is φ = 19152000.

The previous prime is 64740451. The next prime is 64740509. The reversal of 64740456 is 65404746.

64740456 is a `hidden beast` number, since 647 + 4 + 0 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64740456.

It is not an unprimeable number, because it can be changed into a prime (64740451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33106 + ... + 35006.

It is an arithmetic number, because the mean of its divisors is an integer number (2039895).

Almost surely, 264740456 is an apocalyptic number.

64740456 is a gapful number since it is divisible by the number (66) 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 64740456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97914960).

64740456 is an abundant number, since it is smaller than the sum of its proper divisors (131089464).

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

64740456 is a wasteful number, since it uses less digits than its factorization.

64740456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 64740456 is about 8046.1454125563. The cubic root of 64740456 is about 401.5367054474.

The spelling of 64740456 in words is "sixty-four million, seven hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 1901 2838 3096 3784 3802 4257 5676 5703 7604 8514 11352 11406 15208 17028 17109 20911 22812 34056 34218 41822 45624 62733 68436 81743 83644 125466 136872 163486 167288 188199 245229 250932 326972 376398 490458 501864 653944 735687 752796 899173 980916 1471374 1505592 1798346 1961832 2697519 2942748 3596692 5395038 5885496 7193384 8092557 10790076 16185114 21580152 32370228 64740456