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64207104 = 2831359109
BaseRepresentation
bin1111010011101…
…1100100000000
311110211001120220
43310323210000
5112414111404
610212103040
71406515503
oct364734400
9143731526
1064207104
1133274825
1219604a80
13103c0b90
14875513a
1559844d9
hex3d3b900

64207104 has 144 divisors (see below), whose sum is σ = 188865600. Its totient is φ = 19243008.

The previous prime is 64207103. The next prime is 64207139. The reversal of 64207104 is 40170246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64207103) 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, 589002 + ... + 589110.

Almost surely, 264207104 is an apocalyptic number.

64207104 is a gapful number since it is divisible by the number (64) 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 64207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94432800).

64207104 is an abundant number, since it is smaller than the sum of its proper divisors (124658496).

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

64207104 is a wasteful number, since it uses less digits than its factorization.

64207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 64207104 is about 8012.9335452130. The cubic root of 64207104 is about 400.4310020929.

The spelling of 64207104 in words is "sixty-four million, two hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 109 118 128 156 177 192 208 218 236 256 312 327 354 384 416 436 472 624 654 708 767 768 832 872 944 1248 1308 1416 1417 1534 1664 1744 1888 2301 2496 2616 2832 2834 3068 3328 3488 3776 4251 4602 4992 5232 5664 5668 6136 6431 6976 7552 8502 9204 9984 10464 11328 11336 12272 12862 13952 15104 17004 18408 19293 20928 22656 22672 24544 25724 27904 34008 36816 38586 41856 45312 45344 49088 51448 68016 73632 77172 83603 83712 90688 98176 102896 136032 147264 154344 167206 181376 196352 205792 250809 272064 294528 308688 334412 362752 411584 501618 544128 589056 617376 668824 823168 1003236 1088256 1234752 1337648 1646336 2006472 2469504 2675296 4012944 4939008 5350592 8025888 10701184 16051776 21402368 32103552 64207104