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681190944 = 25372179809
BaseRepresentation
bin101000100110100…
…010011000100000
31202110210002022020
4220212202120200
52343341102234
6151332141440
722611012300
oct5046423040
91673702266
10681190944
1131a572925
12170167880
13ab185085
146667d600
153ec09549
hex289a2620

681190944 has 144 divisors (see below), whose sum is σ = 2094271200. Its totient is φ = 193299456.

The previous prime is 681190919. The next prime is 681190967. The reversal of 681190944 is 449091186.

It is a super-2 number, since 2×6811909442 = 928042204375222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 681190896 and 681190905.

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, 841612 + ... + 842420.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 2681190944 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 681190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047135600).

681190944 is an abundant number, since it is smaller than the sum of its proper divisors (1413080256).

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

681190944 is a wasteful number, since it uses less digits than its factorization.

681190944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 681190944 is about 26099.6349399757. The cubic root of 681190944 is about 879.8790054033.

The spelling of 681190944 in words is "six hundred eighty-one million, one hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 179 196 224 294 336 358 392 537 588 672 716 784 809 1074 1176 1253 1432 1568 1618 2148 2352 2427 2506 2864 3236 3759 4296 4704 4854 5012 5663 5728 6472 7518 8592 8771 9708 10024 11326 12944 15036 16989 17184 17542 19416 20048 22652 25888 26313 30072 33978 35084 38832 39641 40096 45304 52626 60144 67956 70168 77664 79282 90608 105252 118923 120288 135912 140336 144811 158564 181216 210504 237846 271824 280672 289622 317128 421008 434433 475692 543648 579244 634256 842016 868866 951384 1013677 1158488 1268512 1737732 1902768 2027354 2316976 3041031 3475464 3805536 4054708 4633952 6082062 6950928 7095739 8109416 12164124 13901856 14191478 16218832 21287217 24328248 28382956 32437664 42574434 48656496 56765912 85148868 97312992 113531824 170297736 227063648 340595472 681190944