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2105136 = 243311443
BaseRepresentation
bin1000000001111100110000
310221221201000
420001330300
51014331021
6113042000
723615265
oct10017460
93857630
102105136
111208690
12856300
13589257
143cb26c
152b8b26
hex201f30

2105136 has 80 divisors (see below), whose sum is σ = 6606720. Its totient is φ = 636480.

The previous prime is 2105119. The next prime is 2105141. The reversal of 2105136 is 6315012.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 221 + 1 + 0 + 53 + 1 + 38 + 64 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4531 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (82584).

22105136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303360).

2105136 is an abundant number, since it is smaller than the sum of its proper divisors (4501584).

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

2105136 is a wasteful number, since it uses less digits than its factorization.

2105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2105136 is about 1450.9086807928. The cubic root of 2105136 is about 128.1622291972.

The spelling of 2105136 in words is "two million, one hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 443 528 594 792 886 1188 1329 1584 1772 2376 2658 3544 3987 4752 4873 5316 7088 7974 9746 10632 11961 14619 15948 19492 21264 23922 29238 31896 38984 43857 47844 58476 63792 77968 87714 95688 116952 131571 175428 191376 233904 263142 350856 526284 701712 1052568 2105136