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680372742 = 23731719447
BaseRepresentation
bin101000100011011…
…010101000000110
31202102020111221110
4220203122220012
52343133411432
6151302425450
722601034000
oct5043325006
91672214843
10680372742
1131a064125
1216ba32286
13aac5982a
1466509370
153eae6dcc
hex288daa06

680372742 has 64 divisors (see below), whose sum is σ = 1680307200. Its totient is φ = 182947968.

The previous prime is 680372701. The next prime is 680372743. The reversal of 680372742 is 247273086.

It is a self number, because there is not a number n which added to its sum of digits gives 680372742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680372743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25263 + ... + 44709.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 2680372742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680372742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840153600).

680372742 is an abundant number, since it is smaller than the sum of its proper divisors (999934458).

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

680372742 is a wasteful number, since it uses less digits than its factorization.

680372742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19490 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 680372742 is about 26083.9556432685. The cubic root of 680372742 is about 879.5265798949.

The spelling of 680372742 in words is "six hundred eighty million, three hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1666 2058 2499 4998 5831 11662 17493 19447 34986 38894 58341 116682 136129 272258 330599 408387 661198 816774 952903 991797 1905806 1983594 2314193 2858709 4628386 5717418 6670321 6942579 13340642 13885158 16199351 20010963 32398702 40021926 48598053 97196106 113395457 226790914 340186371 680372742