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2091136 = 2717312
BaseRepresentation
bin111111110100010000000
310221020111111
413332202000
51013404021
6112453104
723526415
oct7764200
93836444
102091136
1111a9113
1284a194
13582a78
143c610c
152b48e1
hex1fe880

2091136 has 48 divisors (see below), whose sum is σ = 4557870. Its totient is φ = 952320.

The previous prime is 2091097. The next prime is 2091139. The reversal of 2091136 is 6311902.

It can be written as a sum of positive squares in only one way, i.e., 1537600 + 553536 = 1240^2 + 744^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67441 + ... + 67471.

22091136 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 2091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278935).

2091136 is an abundant number, since it is smaller than the sum of its proper divisors (2466734).

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

2091136 is an equidigital number, since it uses as much as digits as its factorization.

2091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2091136 is about 1446.0760699216. The cubic root of 2091136 is about 127.8774869428.

The spelling of 2091136 in words is "two million, ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 961 992 1054 1088 1922 1984 2108 2176 3844 3968 4216 7688 8432 15376 16337 16864 30752 32674 33728 61504 65348 67456 123008 130696 261392 522784 1045568 2091136