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2140160 = 21151119
BaseRepresentation
bin1000001010100000000000
311000201202012
420022200000
51021441120
6113512052
724122351
oct10124000
94021665
102140160
111231a30
12872628
1359c189
143d9d28
152c41c5
hex20a800

2140160 has 96 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 737280.

The previous prime is 2140157. The next prime is 2140163. The reversal of 2140160 is 610412.

It is an interprime number because it is at equal distance from previous prime (2140157) and next prime (2140163).

It is not an unprimeable number, because it can be changed into a prime (2140163) 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, 112631 + ... + 112649.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

22140160 is an apocalyptic number.

2140160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2140160 is an abundant number, since it is smaller than the sum of its proper divisors (3756640).

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

2140160 is a wasteful number, since it uses less digits than its factorization.

2140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2140160 is about 1462.9285696848. The cubic root of 2140160 is about 128.8690857847.

Adding to 2140160 its reverse (610412), we get a palindrome (2750572).

The spelling of 2140160 in words is "two million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 380 418 440 512 608 640 704 760 836 880 1024 1045 1216 1280 1408 1520 1672 1760 2048 2090 2432 2560 2816 3040 3344 3520 4180 4864 5120 5632 6080 6688 7040 8360 9728 10240 11264 12160 13376 14080 16720 19456 22528 24320 26752 28160 33440 38912 48640 53504 56320 66880 97280 107008 112640 133760 194560 214016 267520 428032 535040 1070080 2140160