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680000088 = 233413072251
BaseRepresentation
bin101000100001111…
…111101001011000
31202101112120202110
4220201333221120
52343040000323
6151250432320
722564622355
oct5041775130
91671476673
10680000088
1131992a149
1216b8926a0
13aab59021
146644d62c
153ea71793
hex2887fa58

680000088 has 64 divisors (see below), whose sum is σ = 1747912320. Its totient is φ = 220320000.

The previous prime is 680000071. The next prime is 680000107. The reversal of 680000088 is 880000086.

680000088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 300963 + ... + 303213.

It is an arithmetic number, because the mean of its divisors is an integer number (27311130).

Almost surely, 2680000088 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 680000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873956160).

680000088 is an abundant number, since it is smaller than the sum of its proper divisors (1067912232).

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

680000088 is a wasteful number, since it uses less digits than its factorization.

680000088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 680000088 is about 26076.8113081335. The cubic root of 680000088 is about 879.3659723651.

The spelling of 680000088 in words is "six hundred eighty million, eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 307 328 492 614 921 984 1228 1842 2251 2456 3684 4502 6753 7368 9004 12587 13506 18008 25174 27012 37761 50348 54024 75522 92291 100696 151044 184582 276873 302088 369164 553746 691057 738328 1107492 1382114 2073171 2214984 2764228 4146342 5528456 8292684 16585368 28333337 56666674 85000011 113333348 170000022 226666696 340000044 680000088