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2089131 = 311293759
BaseRepresentation
bin111111110000010101011
310221010202020
413332002223
51013323011
6112435523
723520522
oct7760253
93833666
102089131
1111a7660
12848ba3
13581b95
143c54b9
152b4006
hex1fe0ab

2089131 has 32 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 1169280.

The previous prime is 2089123. The next prime is 2089141. The reversal of 2089131 is 1319802.

It is not a de Polignac number, because 2089131 - 23 = 2089123 is a prime.

It is a super-2 number, since 2×20891312 = 8728936670322, which contains 22 as substring.

2089131 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35380 + ... + 35438.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22089131 is an apocalyptic number.

2089131 is a deficient number, since it is larger than the sum of its proper divisors (1194069).

2089131 is a wasteful number, since it uses less digits than its factorization.

2089131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2089131 is about 1445.3826482977. The cubic root of 2089131 is about 127.8366038455.

It can be divided in two parts, 208 and 9131, that added together give a palindrome (9339).

The spelling of 2089131 in words is "two million, eighty-nine thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 37 59 87 111 177 319 407 649 957 1073 1221 1711 1947 2183 3219 5133 6549 11803 18821 24013 35409 56463 63307 72039 189921 696377 2089131