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2137288104 = 2332717332447
BaseRepresentation
bin111111101100100…
…0110110110101000
312111221200111002200
41333121012312220
513334121204404
6552025300200
7103651435440
oct17731066650
95457614080
102137288104
119a7497206
124b7934660
13280a45223
14163bd5120
15c7980839
hex7f646da8

2137288104 has 96 divisors (see below), whose sum is σ = 6621937920. Its totient is φ = 610051968.

The previous prime is 2137288073. The next prime is 2137288117. The reversal of 2137288104 is 4018827312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872209 + ... + 874655.

It is an arithmetic number, because the mean of its divisors is an integer number (68978520).

Almost surely, 22137288104 is an apocalyptic number.

2137288104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2137288104 is an abundant number, since it is smaller than the sum of its proper divisors (4484649816).

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

2137288104 is a wasteful number, since it uses less digits than its factorization.

2137288104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2137288104 is about 46230.8133607878. The cubic root of 2137288104 is about 1288.1141653237.

The spelling of 2137288104 in words is "two billion, one hundred thirty-seven million, two hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1733 2447 3466 4894 5199 6932 7341 9788 10398 12131 13864 14682 15597 17129 19576 20796 22023 24262 29364 31194 34258 36393 41592 44046 48524 51387 58728 62388 68516 72786 88092 97048 102774 109179 124776 137032 145572 154161 176184 205548 218358 291144 308322 411096 436716 616644 873432 1233288 4240651 8481302 12721953 16962604 25443906 29684557 33925208 38165859 50887812 59369114 76331718 89053671 101775624 118738228 152663436 178107342 237476456 267161013 305326872 356214684 534322026 712429368 1068644052 2137288104