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13131954 = 23211292287
BaseRepresentation
bin110010000110…
…000010110010
3220201011122200
4302012002302
511330210304
61145244030
7216422403
oct62060262
926634580
1013131954
11745a260
124493616
13294a2b4
141a5b9aa
151245e39
hexc860b2

13131954 has 48 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 3840480.

The previous prime is 13131917. The next prime is 13131959. The reversal of 13131954 is 45913131.

It is not an unprimeable number, because it can be changed into a prime (13131959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4599 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (669240).

Almost surely, 213131954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760).

13131954 is an abundant number, since it is smaller than the sum of its proper divisors (18991566).

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

13131954 is a wasteful number, since it uses less digits than its factorization.

13131954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2332 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 13131954 is about 3623.8038026361. The cubic root of 13131954 is about 235.9263511449.

The spelling of 13131954 in words is "thirteen million, one hundred thirty-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2287 2871 4574 5742 6861 13722 20583 25157 41166 50314 66323 75471 132646 150942 198969 226413 397938 452826 596907 729553 1193814 1459106 2188659 4377318 6565977 13131954