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2136160 = 25513279
BaseRepresentation
bin1000001001100001100000
311000112021001
420021201200
51021324120
6113441344
724104605
oct10114140
94015231
102136160
111229a24
12870254
1359a400
143d86ac
152c2e0a
hex209860

2136160 has 72 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 778752.

The previous prime is 2136157. The next prime is 2136163. The reversal of 2136160 is 616312.

It is an interprime number because it is at equal distance from previous prime (2136157) and next prime (2136163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27001 + ... + 27079.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

22136160 is an apocalyptic number.

2136160 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 2136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2136160 is an abundant number, since it is smaller than the sum of its proper divisors (3397760).

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

2136160 is a wasteful number, since it uses less digits than its factorization.

2136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2136160 is about 1461.5608095457. The cubic root of 2136160 is about 128.7887494513.

The spelling of 2136160 in words is "two million, one hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 169 208 260 316 338 395 416 520 632 676 790 845 1027 1040 1264 1352 1580 1690 2054 2080 2528 2704 3160 3380 4108 5135 5408 6320 6760 8216 10270 12640 13351 13520 16432 20540 26702 27040 32864 41080 53404 66755 82160 106808 133510 164320 213616 267020 427232 534040 1068080 2136160