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639974080 = 2652389977
BaseRepresentation
bin100110001001010…
…011101011000000
31122121020001101201
4212021103223000
52302313132310
6143300510544
721600455434
oct4611235300
91577201351
10639974080
112a9280aa9
1215a3ab454
13a27836b5
1460dd09c4
153b2b6e3a
hex26253ac0

639974080 has 112 divisors (see below), whose sum is σ = 1609709760. Its totient is φ = 241860608.

The previous prime is 639974053. The next prime is 639974081. The reversal of 639974080 is 80479936.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 639974080.

It is not an unprimeable number, because it can be changed into a prime (639974081) 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, 654552 + ... + 655528.

Almost surely, 2639974080 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 639974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804854880).

639974080 is an abundant number, since it is smaller than the sum of its proper divisors (969735680).

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

639974080 is a wasteful number, since it uses less digits than its factorization.

639974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 639974080 is about 25297.7089871791. The cubic root of 639974080 is about 861.7622419084.

The spelling of 639974080 in words is "six hundred thirty-nine million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 89 92 115 160 178 184 230 320 356 368 445 460 712 736 890 920 977 1424 1472 1780 1840 1954 2047 2848 3560 3680 3908 4094 4885 5696 7120 7360 7816 8188 9770 10235 14240 15632 16376 19540 20470 22471 28480 31264 32752 39080 40940 44942 62528 65504 78160 81880 86953 89884 112355 131008 156320 163760 173906 179768 224710 312640 327520 347812 359536 434765 449420 655040 695624 719072 869530 898840 1391248 1438144 1739060 1797680 1999919 2782496 3478120 3595360 3999838 5564992 6956240 7190720 7999676 9999595 13912480 15999352 19999190 27824960 31998704 39998380 63997408 79996760 127994816 159993520 319987040 639974080