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2135264 = 25531259
BaseRepresentation
bin1000001001010011100000
311000111000212
420021103200
51021312024
6113433252
724102155
oct10112340
94014025
102135264
11122928a
1286b828
13599b91
143d822c
152c2a0e
hex2094e0

2135264 has 24 divisors (see below), whose sum is σ = 4286520. Its totient is φ = 1046656.

The previous prime is 2135227. The next prime is 2135267. The reversal of 2135264 is 4625312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135267) 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, 1067 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

22135264 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 2135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143260).

2135264 is an abundant number, since it is smaller than the sum of its proper divisors (2151256).

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

2135264 is a wasteful number, since it uses less digits than its factorization.

2135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 2135264 is about 1461.2542557680. The cubic root of 2135264 is about 128.7707403669.

The spelling of 2135264 in words is "two million, one hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1259 1696 2518 5036 10072 20144 40288 66727 133454 266908 533816 1067632 2135264