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2036896 = 25531201
BaseRepresentation
bin111110001010010100000
310211111002121
413301102200
51010140041
6111354024
723212321
oct7612240
93744077
102036896
111171394
12822914
13564184
143b0448
152a37d1
hex1f14a0

2036896 has 24 divisors (see below), whose sum is σ = 4089204. Its totient is φ = 998400.

The previous prime is 2036893. The next prime is 2036911. The reversal of 2036896 is 6986302.

It is a happy number.

2036896 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 132496 = 1380^2 + 364^2 .

It is not an unprimeable number, because it can be changed into a prime (2036891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1096 + ... + 2296.

22036896 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 2036896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044602).

2036896 is an abundant number, since it is smaller than the sum of its proper divisors (2052308).

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

2036896 is a wasteful number, since it uses less digits than its factorization.

2036896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2036896 is about 1427.1986547079. The cubic root of 2036896 is about 126.7621563734.

The spelling of 2036896 in words is "two million, thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1201 1696 2402 4804 9608 19216 38432 63653 127306 254612 509224 1018448 2036896