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2136864 = 25322259
BaseRepresentation
bin1000001001101100100000
311000120020010
420021230200
51021334424
6113444520
724106632
oct10115440
94016203
102136864
11122a504
12870740
1359a822
143d8a52
152c3229
hex209b20

2136864 has 24 divisors (see below), whose sum is σ = 5609520. Its totient is φ = 712256.

The previous prime is 2136863. The next prime is 2136877. The reversal of 2136864 is 4686312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2136863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11034 + ... + 11225.

It is an arithmetic number, because the mean of its divisors is an integer number (233730).

22136864 is an apocalyptic number.

2136864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2136864 is an abundant number, since it is smaller than the sum of its proper divisors (3472656).

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

2136864 is a wasteful number, since it uses less digits than its factorization.

2136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22272 (or 22264 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2136864 is about 1461.8016281288. The cubic root of 2136864 is about 128.8028959137.

The spelling of 2136864 in words is "two million, one hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22259 44518 66777 89036 133554 178072 267108 356144 534216 712288 1068432 2136864