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680788446 = 23132683983
BaseRepresentation
bin101000100101000…
…000000111011110
31202110000122011220
4220211000013132
52343240212241
6151315354210
722604414652
oct5045000736
91673018156
10680788446
1131a318488
1216bbb2966
13ab073b00
14665b6a62
153eb7a166
hex289401de

680788446 has 48 divisors (see below), whose sum is σ = 1478030976. Its totient is φ = 208953888.

The previous prime is 680788441. The next prime is 680788457. The reversal of 680788446 is 644887086.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680788441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692071 + ... + 693053.

It is an arithmetic number, because the mean of its divisors is an integer number (30792312).

Almost surely, 2680788446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680788446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739015488).

680788446 is an abundant number, since it is smaller than the sum of its proper divisors (797242530).

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

680788446 is a wasteful number, since it uses less digits than its factorization.

680788446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 680788446 is about 26091.9230031058. The cubic root of 680788446 is about 879.7056720580.

The spelling of 680788446 in words is "six hundred eighty million, seven hundred eighty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 683 983 1014 1366 1966 2049 2949 4098 5898 8879 12779 17758 25558 26637 38337 53274 76674 115427 166127 230854 332254 346281 498381 671389 692562 996762 1342778 2014167 4028334 8728057 17456114 26184171 52368342 113464741 226929482 340394223 680788446