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681322320 = 24335745061
BaseRepresentation
bin101000100111000…
…010011101010000
31202111000202112000
4220213002131100
52343404303240
6151335034000
722612100310
oct5047023520
91674022460
10681322320
1131a6525a8
1217020b900
13ab1ccb03
14666b5440
153ec33430
hex289c2750

681322320 has 160 divisors (see below), whose sum is σ = 2682090240. Its totient is φ = 155727360.

The previous prime is 681322283. The next prime is 681322331. The reversal of 681322320 is 23223186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7411 + ... + 37650.

It is an arithmetic number, because the mean of its divisors is an integer number (16763064).

Almost surely, 2681322320 is an apocalyptic number.

681322320 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 681322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341045120).

681322320 is an abundant number, since it is smaller than the sum of its proper divisors (2000767920).

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

681322320 is a wasteful number, since it uses less digits than its factorization.

681322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45090 (or 45078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 681322320 is about 26102.1516354495. The cubic root of 681322320 is about 879.9355669077.

The spelling of 681322320 in words is "six hundred eighty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 45061 90122 135183 180244 225305 270366 315427 360488 405549 450610 540732 630854 675915 720976 811098 901220 946281 1081464 1216647 1261708 1351830 1577135 1622196 1802440 1892562 2027745 2162928 2433294 2523416 2703660 2838843 3154270 3244392 3604880 3785124 4055490 4731405 4866588 5046832 5407320 5677686 6083235 6308540 6488784 7570248 8110980 8516529 9462810 9733176 10814640 11355372 12166470 12617080 14194215 15140496 16221960 17033058 18925620 19466352 22710744 24332940 25234160 28388430 32443920 34066116 37851240 42582645 45421488 48665880 56776860 68132232 75702480 85165290 97331760 113553720 136264464 170330580 227107440 340661160 681322320