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680444928 = 2103324611
BaseRepresentation
bin101000100011101…
…100010000000000
31202102101011222000
4220203230100000
52343143214203
6151304144000
722601454312
oct5043542000
91672334860
10680444928
1131a103389
1216ba68000
13aac83647
14665277b2
153eb0d4a3
hex288ec400

680444928 has 88 divisors (see below), whose sum is σ = 2015230560. Its totient is φ = 226805760.

The previous prime is 680444923. The next prime is 680444959. The reversal of 680444928 is 829444086.

It is not an unprimeable number, because it can be changed into a prime (680444923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15343 + ... + 39953.

Almost surely, 2680444928 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 680444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007615280).

680444928 is an abundant number, since it is smaller than the sum of its proper divisors (1334785632).

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

680444928 is a wasteful number, since it uses less digits than its factorization.

680444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24640 (or 24616 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 680444928 is about 26085.3393307429. The cubic root of 680444928 is about 879.5576840513.

The spelling of 680444928 in words is "six hundred eighty million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 24611 27648 49222 73833 98444 147666 196888 221499 295332 393776 442998 590664 664497 787552 885996 1181328 1328994 1575104 1771992 2362656 2657988 3150208 3543984 4725312 5315976 6300416 7087968 9450624 10631952 12600832 14175936 18901248 21263904 25201664 28351872 37802496 42527808 56703744 75604992 85055616 113407488 170111232 226814976 340222464 680444928