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2690887296 = 273173113297
BaseRepresentation
bin1010000001100011…
…1010111010000000
320221112101020102110
42200120322322000
521002331343141
61123003015320
7123453110316
oct24030727200
96845336373
102690887296
111160a324a9
1263120a540
1333b645a06
141b75400b6
1510b384e16
hexa063ae80

2690887296 has 128 divisors (see below), whose sum is σ = 7812840960. Its totient is φ = 816906240.

The previous prime is 2690887267. The next prime is 2690887301. The reversal of 2690887296 is 6927880962.

It is a tau number, because it is divible by the number of its divisors (128).

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, 195720 + ... + 209016.

It is an arithmetic number, because the mean of its divisors is an integer number (61037820).

Almost surely, 22690887296 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 2690887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906420480).

2690887296 is an abundant number, since it is smaller than the sum of its proper divisors (5121953664).

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

2690887296 is a wasteful number, since it uses less digits than its factorization.

2690887296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 2690887296 is about 51873.7630792292. The cubic root of 2690887296 is about 1390.9083130385.

The spelling of 2690887296 in words is "two billion, six hundred ninety million, eight hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 5952 6324 6528 8432 11904 12648 13297 16864 25296 26594 33728 39891 50592 53188 67456 79782 101184 106376 159564 202368 212752 226049 319128 412207 425504 452098 638256 678147 824414 851008 904196 1236621 1276512 1356294 1648828 1702016 1808392 2473242 2553024 2712588 3297656 3616784 4946484 5106048 5425176 6595312 7007519 7233568 9892968 10850352 13190624 14015038 14467136 19785936 21022557 21700704 26381248 28030076 28934272 39571872 42045114 43401408 52762496 56060152 79143744 84090228 86802816 112120304 158287488 168180456 224240608 336360912 448481216 672721824 896962432 1345443648 2690887296