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680663424 = 27371311933
BaseRepresentation
bin101000100100100…
…001100110000000
31202102210021200110
4220210201212000
52343222212144
6151312551320
722603354320
oct5044414600
91672707613
10680663424
1131a242561
1216bb52540
13ab02bc2c
1466583280
153eb530b9
hex28921980

680663424 has 128 divisors (see below), whose sum is σ = 2083150080. Its totient is φ = 192890880.

The previous prime is 680663419. The next prime is 680663441. The reversal of 680663424 is 424366086.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 351162 + ... + 353094.

It is an arithmetic number, because the mean of its divisors is an integer number (16274610).

Almost surely, 2680663424 is an apocalyptic number.

680663424 is a gapful number since it is divisible by the number (64) 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 680663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041575040).

680663424 is an abundant number, since it is smaller than the sum of its proper divisors (1402486656).

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

680663424 is a wasteful number, since it uses less digits than its factorization.

680663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 680663424 is about 26089.5270942192. The cubic root of 680663424 is about 879.6518181790.

The spelling of 680663424 in words is "six hundred eighty million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 384 393 448 524 672 786 896 917 1048 1344 1572 1834 1933 2096 2688 2751 3144 3668 3866 4192 5502 5799 6288 7336 7732 8384 11004 11598 12576 13531 14672 15464 16768 22008 23196 25152 27062 29344 30928 40593 44016 46392 50304 54124 58688 61856 81186 88032 92784 108248 117376 123712 162372 176064 185568 216496 247424 253223 324744 352128 371136 432992 506446 649488 742272 759669 865984 1012892 1298976 1519338 1731968 1772561 2025784 2597952 3038676 3545122 4051568 5195904 5317683 6077352 7090244 8103136 10635366 12154704 14180488 16206272 21270732 24309408 28360976 32412544 42541464 48618816 56721952 85082928 97237632 113443904 170165856 226887808 340331712 680663424