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2090153688 = 2337121710223
BaseRepresentation
bin111110010010101…
…0011011011011000
312101122222210211120
41330211103123120
513240034404223
6543223125240
7102540004350
oct17445233330
95348883746
102090153688
11982923447
124a3ba3820
1327405123c
1415b845b60
15c376ebe3
hex7c9536d8

2090153688 has 64 divisors (see below), whose sum is σ = 5977359360. Its totient is φ = 596637696.

The previous prime is 2090153677. The next prime is 2090153693. The reversal of 2090153688 is 8863510902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199345 + ... + 209567.

It is an arithmetic number, because the mean of its divisors is an integer number (93396240).

Almost surely, 22090153688 is an apocalyptic number.

2090153688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2090153688 is an abundant number, since it is smaller than the sum of its proper divisors (3887205672).

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

2090153688 is a wasteful number, since it uses less digits than its factorization.

2090153688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2090153688 is about 45718.1986521779. The cubic root of 2090153688 is about 1278.5746030581.

The spelling of 2090153688 in words is "two billion, ninety million, one hundred fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1217 2434 3651 4868 7302 8519 9736 10223 14604 17038 20446 25557 29208 30669 34076 40892 51114 61338 68152 71561 81784 102228 122676 143122 204456 214683 245352 286244 429366 572488 858732 1717464 12441391 24882782 37324173 49765564 74648346 87089737 99531128 149296692 174179474 261269211 298593384 348358948 522538422 696717896 1045076844 2090153688