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2137657040 = 24526720713
BaseRepresentation
bin111111101101010…
…0000111011010000
312111222101020011222
41333122200323100
513334220011130
6552041224212
7103654533161
oct17732407320
95458336158
102137657040
119a7719412
124b7a92068
13280b4412c
14163c8d768
15c7a04ce5
hex7f6a0ed0

2137657040 has 20 divisors (see below), whose sum is σ = 4970052804. Its totient is φ = 855062784.

The previous prime is 2137657037. The next prime is 2137657051. The reversal of 2137657040 is 407567312.

It can be written as a sum of positive squares in 2 ways, for example, as 1348945984 + 788711056 = 36728^2 + 28084^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 13360277 + ... + 13360436.

Almost surely, 22137657040 is an apocalyptic number.

2137657040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137657040 is an abundant number, since it is smaller than the sum of its proper divisors (2832395764).

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

2137657040 is a wasteful number, since it uses less digits than its factorization.

2137657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26720726 (or 26720720 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 2137657040 is about 46234.8033412061. The cubic root of 2137657040 is about 1288.1882786116.

The spelling of 2137657040 in words is "two billion, one hundred thirty-seven million, six hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26720713 53441426 106882852 133603565 213765704 267207130 427531408 534414260 1068828520 2137657040