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640967904 = 2535312659
BaseRepresentation
bin100110001101000…
…110010011100000
31122200002112200000
4212031012103200
52303041433104
6143334100000
721612065043
oct4615062340
91580075600
10640967904
112a989a745
1215a7aa600
13a2a40b65
14611acc5a
153b411639
hex263464e0

640967904 has 144 divisors (see below), whose sum is σ = 1951971840. Its totient is φ = 206686080.

The previous prime is 640967897. The next prime is 640967939. The reversal of 640967904 is 409769046.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 640967904.

It is a congruent number.

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, 239727 + ... + 242385.

It is an arithmetic number, because the mean of its divisors is an integer number (13555360).

Almost surely, 2640967904 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 640967904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975985920).

640967904 is an abundant number, since it is smaller than the sum of its proper divisors (1311003936).

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

640967904 is a wasteful number, since it uses less digits than its factorization.

640967904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 640967904 is about 25317.3439365191. The cubic root of 640967904 is about 862.2080917647.

The spelling of 640967904 in words is "six hundred forty million, nine hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2659 2976 3348 3888 4464 5022 5318 6696 7533 7776 7977 8928 10044 10636 13392 15066 15954 20088 21272 23931 26784 30132 31908 40176 42544 47862 60264 63816 71793 80352 82429 85088 95724 120528 127632 143586 164858 191448 215379 241056 247287 255264 287172 329716 382896 430758 494574 574344 646137 659432 741861 765792 861516 989148 1148688 1292274 1318864 1483722 1723032 1978296 2225583 2297376 2584548 2637728 2967444 3446064 3956592 4451166 5169096 5934888 6676749 6892128 7913184 8902332 10338192 11869776 13353498 17804664 20030247 20676384 23739552 26706996 35609328 40060494 53413992 71218656 80120988 106827984 160241976 213655968 320483952 640967904