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640982016 = 21032157443
BaseRepresentation
bin100110001101001…
…001110000000000
31122200010021000200
4212031021300000
52303042411031
6143334245200
721612154143
oct4615116000
91580107020
10640982016
112a98aa304
1215a7b6800
13a2a473cc
14611b405a
153b4158e6
hex26349c00

640982016 has 132 divisors (see below), whose sum is σ = 1866814872. Its totient is φ = 211820544.

The previous prime is 640982011. The next prime is 640982039. The reversal of 640982016 is 610289046.

640982016 is a `hidden beast` number, since 640 + 9 + 8 + 2 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640982011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446691 + ... + 1447133.

Almost surely, 2640982016 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 640982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933407436).

640982016 is an abundant number, since it is smaller than the sum of its proper divisors (1225832856).

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

640982016 is a wasteful number, since it uses less digits than its factorization.

640982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 640982016 is about 25317.6226372067. The cubic root of 640982016 is about 862.2144193781.

The spelling of 640982016 in words is "six hundred forty million, nine hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 443 471 512 576 628 768 886 942 1024 1152 1256 1329 1413 1536 1772 1884 2304 2512 2658 2826 3072 3544 3768 3987 4608 5024 5316 5652 7088 7536 7974 9216 10048 10632 11304 14176 15072 15948 20096 21264 22608 28352 30144 31896 40192 42528 45216 56704 60288 63792 69551 80384 85056 90432 113408 120576 127584 139102 160768 170112 180864 208653 226816 241152 255168 278204 340224 361728 417306 453632 482304 510336 556408 625959 680448 723456 834612 1020672 1112816 1251918 1360896 1446912 1669224 2041344 2225632 2503836 3338448 4082688 4451264 5007672 6676896 8902528 10015344 13353792 17805056 20030688 26707584 35610112 40061376 53415168 71220224 80122752 106830336 160245504 213660672 320491008 640982016