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64421640 = 233251491201
BaseRepresentation
bin1111010110111…
…1111100001000
311111012221212200
43311233330020
5112442443030
610220440200
71411401123
oct365577410
9144187780
1064421640
1133400a28
12196a9060
131046771a
1487ad3ba
1559c7d60
hex3d6ff08

64421640 has 96 divisors (see below), whose sum is σ = 210951000. Its totient is φ = 17049600.

The previous prime is 64421633. The next prime is 64421657. The reversal of 64421640 is 4612446.

64421640 is a `hidden beast` number, since 644 + 2 + 16 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 48692484 = 3966^2 + 6978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53040 + ... + 54240.

Almost surely, 264421640 is an apocalyptic number.

64421640 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 64421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105475500).

64421640 is an abundant number, since it is smaller than the sum of its proper divisors (146529360).

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

64421640 is a wasteful number, since it uses less digits than its factorization.

64421640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64421640 is about 8026.3092389965. The cubic root of 64421640 is about 400.8764946566.

The spelling of 64421640 in words is "sixty-four million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1201 1341 1490 1788 2235 2402 2682 2980 3576 3603 4470 4804 5364 5960 6005 6705 7206 8940 9608 10728 10809 12010 13410 14412 17880 18015 21618 24020 26820 28824 36030 43236 48040 53640 54045 72060 86472 108090 144120 178949 216180 357898 432360 536847 715796 894745 1073694 1431592 1610541 1789490 2147388 2684235 3221082 3578980 4294776 5368470 6442164 7157960 8052705 10736940 12884328 16105410 21473880 32210820 64421640