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680014008 = 233317185189
BaseRepresentation
bin101000100010000…
…011000010111000
31202101120021212000
4220202003002320
52343040422013
6151251021000
722565011062
oct5042030270
91671507760
10680014008
11319939653
1216b89a760
13aab6246b
1466454732
153ea75973
hex288830b8

680014008 has 64 divisors (see below), whose sum is σ = 2000052000. Its totient is φ = 213336576.

The previous prime is 680014003. The next prime is 680014037. The reversal of 680014008 is 800410086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680014003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88923 + ... + 96266.

Almost surely, 2680014008 is an apocalyptic number.

680014008 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

680014008 is an abundant number, since it is smaller than the sum of its proper divisors (1320037992).

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

680014008 is a wasteful number, since it uses less digits than its factorization.

680014008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185221 (or 185211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 680014008 is about 26077.0782105665. The cubic root of 680014008 is about 879.3719727029.

The spelling of 680014008 in words is "six hundred eighty million, fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 185189 370378 555567 740756 1111134 1481512 1666701 2222268 3148213 3333402 4444536 5000103 6296426 6666804 9444639 10000206 12592852 13333608 18889278 20000412 25185704 28333917 37778556 40000824 56667834 75557112 85001751 113335668 170003502 226671336 340007004 680014008