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2136200 = 235211971
BaseRepresentation
bin1000001001100010001000
311000112022112
420021202020
51021324300
6113441452
724104663
oct10114210
94015275
102136200
111229a60
12870288
1359a431
143d86da
152c2e35
hex209888

2136200 has 48 divisors (see below), whose sum is σ = 5423760. Its totient is φ = 776000.

The previous prime is 2136193. The next prime is 2136209. The reversal of 2136200 is 26312.

It is not an unprimeable number, because it can be changed into a prime (2136209) 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, 1715 + ... + 2685.

It is an arithmetic number, because the mean of its divisors is an integer number (112995).

22136200 is an apocalyptic number.

2136200 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 2136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711880).

2136200 is an abundant number, since it is smaller than the sum of its proper divisors (3287560).

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

2136200 is a wasteful number, since it uses less digits than its factorization.

2136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2136200 is about 1461.5744934830. The cubic root of 2136200 is about 128.7895533109.

The spelling of 2136200 in words is "two million, one hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 971 1100 1942 2200 3884 4855 7768 9710 10681 19420 21362 24275 38840 42724 48550 53405 85448 97100 106810 194200 213620 267025 427240 534050 1068100 2136200