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2136320 = 2851669
BaseRepresentation
bin1000001001100100000000
311000112110222
420021210000
51021330240
6113442212
724105224
oct10114400
94015428
102136320
11122a05a
12870368
1359a4c4
143d8784
152c2eb5
hex209900

2136320 has 36 divisors (see below), whose sum is σ = 5120220. Its totient is φ = 854016.

The previous prime is 2136313. The next prime is 2136347. The reversal of 2136320 is 236312.

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 1183744 = 976^2 + 1088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446 + ... + 2114.

22136320 is an apocalyptic number.

2136320 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 2136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560110).

2136320 is an abundant number, since it is smaller than the sum of its proper divisors (2983900).

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

2136320 is an equidigital number, since it uses as much as digits as its factorization.

2136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2136320 is about 1461.6155445260. The cubic root of 2136320 is about 128.7919648293.

The spelling of 2136320 in words is "two million, one hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1669 3338 6676 8345 13352 16690 26704 33380 53408 66760 106816 133520 213632 267040 427264 534080 1068160 2136320