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2137290084 = 223353675573
BaseRepresentation
bin111111101100100…
…0111010101100100
312111221200120211000
41333121013111210
513334121240314
6552025313300
7103651444266
oct17731072544
95457616730
102137290084
119a7498746
124b7935830
13280a460b7
14163bd5b36
15c7981209
hex7f647564

2137290084 has 96 divisors (see below), whose sum is σ = 5730963840. Its totient is φ = 688431744.

The previous prime is 2137290083. The next prime is 2137290101. The reversal of 2137290084 is 4800927312.

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

It is not an unprimeable number, because it can be changed into a prime (2137290083) 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, 380722 + ... + 386294.

It is an arithmetic number, because the mean of its divisors is an integer number (59697540).

Almost surely, 22137290084 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 2137290084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865481920).

2137290084 is an abundant number, since it is smaller than the sum of its proper divisors (3593673756).

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

2137290084 is a wasteful number, since it uses less digits than its factorization.

2137290084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2137290084 is about 46230.8347750719. The cubic root of 2137290084 is about 1288.1145630965.

The spelling of 2137290084 in words is "two billion, one hundred thirty-seven million, two hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 67 106 108 134 159 201 212 268 318 402 477 603 636 804 954 1206 1431 1809 1908 2412 2862 3551 3618 5573 5724 7102 7236 10653 11146 14204 16719 21306 22292 31959 33438 42612 50157 63918 66876 95877 100314 127836 150471 191754 200628 295369 300942 373391 383508 590738 601884 746782 886107 1120173 1181476 1493564 1772214 2240346 2658321 3360519 3544428 4480692 5316642 6721038 7974963 10081557 10633284 13442076 15949926 19789723 20163114 31899852 39579446 40326228 59369169 79158892 118738338 178107507 237476676 356215014 534322521 712430028 1068645042 2137290084