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2137752160 = 25513360951
BaseRepresentation
bin111111101101011…
…1000001001100000
312111222120001122221
41333122320021200
513334231032120
6552043240424
7103655410405
oct17732701140
95458501587
102137752160
119a7783925
124b7b19114
13280b7850b
14163cb62ac
15c7a230aa
hex7f6b8260

2137752160 has 24 divisors (see below), whose sum is σ = 5050439856. Its totient is φ = 855100800.

The previous prime is 2137752151. The next prime is 2137752161. The reversal of 2137752160 is 612577312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137752161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6680316 + ... + 6680635.

It is an arithmetic number, because the mean of its divisors is an integer number (210434994).

Almost surely, 22137752160 is an apocalyptic number.

2137752160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137752160 is an abundant number, since it is smaller than the sum of its proper divisors (2912687696).

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

2137752160 is a wasteful number, since it uses less digits than its factorization.

2137752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13360966 (or 13360958 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 2137752160 is about 46235.8319920816. The cubic root of 2137752160 is about 1288.2073853017.

It can be divided in two parts, 21377 and 52160, that added together give a palindrome (73537).

The spelling of 2137752160 in words is "two billion, one hundred thirty-seven million, seven hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13360951 26721902 53443804 66804755 106887608 133609510 213775216 267219020 427550432 534438040 1068876080 2137752160