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2137028660 = 225132632257
BaseRepresentation
bin111111101100000…
…0111100000110100
312111221012022012122
41333120013200310
513334034404120
6552015535112
7103646305154
oct17730074064
95457168178
102137028660
119a732a298
124b782a498
13280984100
14163b68764
15c792da25
hex7f607834

2137028660 has 36 divisors (see below), whose sum is σ = 4859534988. Its totient is φ = 789055488.

The previous prime is 2137028659. The next prime is 2137028669. The reversal of 2137028660 is 668207312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 551874064 + 1585154596 = 23492^2 + 39814^2 .

It is a super-2 number, since 2×21370286602 = 9133782987322791200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137028660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137028669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312749 + ... + 319508.

It is an arithmetic number, because the mean of its divisors is an integer number (134987083).

Almost surely, 22137028660 is an apocalyptic number.

2137028660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137028660 is an abundant number, since it is smaller than the sum of its proper divisors (2722506328).

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

2137028660 is a wasteful number, since it uses less digits than its factorization.

2137028660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632292 (or 632277 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2137028660 is about 46228.0073115855. The cubic root of 2137028660 is about 1288.0620421036.

The spelling of 2137028660 in words is "two billion, one hundred thirty-seven million, twenty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 632257 1264514 2529028 3161285 6322570 8219341 12645140 16438682 32877364 41096705 82193410 106851433 164386820 213702866 427405732 534257165 1068514330 2137028660