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13132692 = 223559229
BaseRepresentation
bin110010000110…
…001110010100
3220201012200000
4302012032110
511330221232
61145251300
7216424506
oct62061624
926635600
1013132692
11745a871
124493b30
13294a731
141a5bd76
15124627c
hexc86394

13132692 has 72 divisors (see below), whose sum is σ = 35162400. Its totient is φ = 4284576.

The previous prime is 13132661. The next prime is 13132697. The reversal of 13132692 is 29623131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132697) 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, 57234 + ... + 57462.

Almost surely, 213132692 is an apocalyptic number.

13132692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581200).

13132692 is an abundant number, since it is smaller than the sum of its proper divisors (22029708).

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

13132692 is a wasteful number, since it uses less digits than its factorization.

13132692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13132692 is about 3623.9056279103. The cubic root of 13132692 is about 235.9307706544.

It can be divided in two parts, 13132 and 692, that added together give a cube (13824 = 243).

The spelling of 13132692 in words is "thirteen million, one hundred thirty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 229 236 243 324 354 458 486 531 687 708 916 972 1062 1374 1593 2061 2124 2748 3186 4122 4779 6183 6372 8244 9558 12366 13511 14337 18549 19116 24732 27022 28674 37098 40533 54044 55647 57348 74196 81066 111294 121599 162132 222588 243198 364797 486396 729594 1094391 1459188 2188782 3283173 4377564 6566346 13132692