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2137640240 = 245231161761
BaseRepresentation
bin111111101101001…
…1100110100110000
312111222100101010202
41333122130310300
513334213441430
6552041014332
7103654433201
oct17732346460
95458311122
102137640240
119a770782a
124b7a843a8
13280b395a8
14163c875a8
15c79eed45
hex7f69cd30

2137640240 has 40 divisors (see below), whose sum is σ = 5186105568. Its totient is φ = 817879040.

The previous prime is 2137640213. The next prime is 2137640243. The reversal of 2137640240 is 420467312.

2137640240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2137640243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579041 + ... + 582720.

Almost surely, 22137640240 is an apocalyptic number.

2137640240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137640240 is an abundant number, since it is smaller than the sum of its proper divisors (3048465328).

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

2137640240 is a wasteful number, since it uses less digits than its factorization.

2137640240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161797 (or 1161791 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2137640240 is about 46234.6216595313. The cubic root of 2137640240 is about 1288.1849039480.

It can be divided in two parts, 21376 and 40240, that added together give a palindrome (61616).

The spelling of 2137640240 in words is "two billion, one hundred thirty-seven million, six hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 1161761 2323522 4647044 5808805 9294088 11617610 18588176 23235220 26720503 46470440 53441006 92940880 106882012 133602515 213764024 267205030 427528048 534410060 1068820120 2137640240