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639920640 = 293597859
BaseRepresentation
bin100110001001000…
…110101000000000
31122121010100002110
4212021012220000
52302304430030
6143255415320
721600143562
oct4611065000
91577110073
10639920640
112a9244937
1215a384540
13a2765288
1460db9332
153b2a61b0
hex26246a00

639920640 has 160 divisors (see below), whose sum is σ = 2069242560. Its totient is φ = 168689664.

The previous prime is 639920639. The next prime is 639920653. The reversal of 639920640 is 46029936.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744531 + ... + 745389.

It is an arithmetic number, because the mean of its divisors is an integer number (12932766).

Almost surely, 2639920640 is an apocalyptic number.

639920640 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 639920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034621280).

639920640 is an abundant number, since it is smaller than the sum of its proper divisors (1429321920).

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

639920640 is an equidigital number, since it uses as much as digits as its factorization.

639920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 639920640 is about 25296.6527430014. The cubic root of 639920640 is about 861.7382545535.

The spelling of 639920640 in words is "six hundred thirty-nine million, nine hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 512 582 640 768 776 859 960 970 1164 1280 1455 1536 1552 1718 1920 1940 2328 2560 2577 2910 3104 3436 3840 3880 4295 4656 5154 5820 6208 6872 7680 7760 8590 9312 10308 11640 12416 12885 13744 15520 17180 18624 20616 23280 24832 25770 27488 31040 34360 37248 41232 46560 49664 51540 54976 62080 68720 74496 82464 83323 93120 103080 109952 124160 137440 148992 164928 166646 186240 206160 219904 248320 249969 274880 329856 333292 372480 412320 416615 439808 499938 549760 659712 666584 744960 824640 833230 999876 1099520 1249845 1319424 1333168 1649280 1666460 1999752 2199040 2499690 2666336 3298560 3332920 3999504 4999380 5332672 6597120 6665840 7999008 9998760 10665344 13331680 15998016 19997520 21330688 26663360 31996032 39995040 42661376 53326720 63992064 79990080 106653440 127984128 159980160 213306880 319960320 639920640