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680331360 = 25355924023
BaseRepresentation
bin101000100011010…
…000100001100000
31202102011102011210
4220203100201200
52343131100420
6151301510120
722600502232
oct5043204140
91672142153
10680331360
1131a036025
1216ba12340
13aac43a47
14664d8252
153ead99e0
hex288d0860

680331360 has 96 divisors (see below), whose sum is σ = 2179457280. Its totient is φ = 178339328.

The previous prime is 680331349. The next prime is 680331371. The reversal of 680331360 is 63133086.

It is an interprime number because it is at equal distance from previous prime (680331349) and next prime (680331371).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16309 + ... + 40331.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2680331360 is an apocalyptic number.

680331360 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 680331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

680331360 is an abundant number, since it is smaller than the sum of its proper divisors (1499125920).

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

680331360 is a wasteful number, since it uses less digits than its factorization.

680331360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24100 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 680331360 is about 26083.1623849563. The cubic root of 680331360 is about 879.5087478525.

The spelling of 680331360 in words is "six hundred eighty million, three hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 24023 28320 48046 72069 96092 120115 144138 192184 240230 288276 360345 384368 480460 576552 720690 768736 960920 1153104 1417357 1441380 1921840 2306208 2834714 2882760 3843680 4252071 5669428 5765520 7086785 8504142 11338856 11531040 14173570 17008284 21260355 22677712 28347140 34016568 42520710 45355424 56694280 68033136 85041420 113388560 136066272 170082840 226777120 340165680 680331360