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639669960 = 233451910391
BaseRepresentation
bin100110001000001…
…001011011001000
31122120122121020000
4212020021123020
52302223414320
6143250203000
721565050666
oct4610113310
91576577200
10639669960
112a9093566
1215a283460
13a26a8147
1460d51c36
153b256c90
hex262096c8

639669960 has 160 divisors (see below), whose sum is σ = 2263377600. Its totient is φ = 161585280.

The previous prime is 639669929. The next prime is 639669983. The reversal of 639669960 is 69966936.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 639669897 and 639669906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56365 + ... + 66755.

It is an arithmetic number, because the mean of its divisors is an integer number (14146110).

Almost surely, 2639669960 is an apocalyptic number.

639669960 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 639669960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131688800).

639669960 is an abundant number, since it is smaller than the sum of its proper divisors (1623707640).

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

639669960 is a wasteful number, since it uses less digits than its factorization.

639669960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 639669960 is about 25291.6974519307. The cubic root of 639669960 is about 861.6257152030.

The spelling of 639669960 in words is "six hundred thirty-nine million, six hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 10391 12312 15390 20520 20782 30780 31173 41564 51955 61560 62346 83128 93519 103910 124692 155865 187038 197429 207820 249384 280557 311730 374076 394858 415640 467595 561114 592287 623460 748152 789716 841671 935190 987145 1122228 1184574 1246920 1402785 1579432 1683342 1776861 1870380 1974290 2244456 2369148 2805570 2961435 3366684 3553722 3740760 3948580 4208355 4738296 5330583 5611140 5922870 6733368 7107444 7897160 8416710 8884305 10661166 11222280 11845740 14214888 15991749 16833420 17768610 21322332 23691480 26652915 31983498 33666840 35537220 42644664 53305830 63966996 71074440 79958745 106611660 127933992 159917490 213223320 319834980 639669960