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2135364 = 2237112311
BaseRepresentation
bin1000001001010101000100
311000111011120
420021111010
51021312424
6113433540
724102360
oct10112504
94014146
102135364
111229370
1286b8b0
13599c3a
143d82a0
152c2a79
hex209544

2135364 has 48 divisors (see below), whose sum is σ = 6214656. Its totient is φ = 554400.

The previous prime is 2135347. The next prime is 2135369. The reversal of 2135364 is 4635312.

It is a happy number.

It is a d-powerful number, because it can be written as 219 + 1 + 33 + 53 + 313 + 63 + 47 .

It is not an unprimeable number, because it can be changed into a prime (2135369) 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 15 ways as a sum of consecutive naturals, for example, 232 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (129472).

22135364 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 2135364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107328).

2135364 is an abundant number, since it is smaller than the sum of its proper divisors (4079292).

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

2135364 is a wasteful number, since it uses less digits than its factorization.

2135364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2334 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 2135364 is about 1461.2884725474. The cubic root of 2135364 is about 128.7727505591.

The spelling of 2135364 in words is "two million, one hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2311 4622 6933 9244 13866 16177 25421 27732 32354 48531 50842 64708 76263 97062 101684 152526 177947 194124 305052 355894 533841 711788 1067682 2135364