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2136112 = 241153229
BaseRepresentation
bin1000001001100000110000
311000112012021
420021200300
51021323422
6113441224
724104506
oct10114060
94015167
102136112
111229990
12870214
1359a394
143d8676
152c2dc7
hex209830

2136112 has 40 divisors (see below), whose sum is σ = 4620240. Its totient is φ = 948480.

The previous prime is 2136109. The next prime is 2136119. The reversal of 2136112 is 2116312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2136119) 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, 9214 + ... + 9442.

It is an arithmetic number, because the mean of its divisors is an integer number (115506).

22136112 is an apocalyptic number.

2136112 is a gapful number since it is divisible by the number (22) 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 2136112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310120).

2136112 is an abundant number, since it is smaller than the sum of its proper divisors (2484128).

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

2136112 is a wasteful number, since it uses less digits than its factorization.

2136112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 2136112 is about 1461.5443886519. The cubic root of 2136112 is about 128.7877848066.

The spelling of 2136112 in words is "two million, one hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 229 424 458 583 848 916 1166 1832 2332 2519 3664 4664 5038 9328 10076 12137 20152 24274 40304 48548 97096 133507 194192 267014 534028 1068056 2136112