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13482432 = 263289263
BaseRepresentation
bin110011011011…
…100111000000
3221100222102100
4303123213000
511422414212
61200550400
7222412245
oct63334700
927328370
1013482432
117679607
124622400
132a40992
141b0d5cc
1512b4bdc
hexcdb9c0

13482432 has 84 divisors (see below), whose sum is σ = 39227760. Its totient is φ = 4426752.

The previous prime is 13482397. The next prime is 13482433. The reversal of 13482432 is 23428431.

13482432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13482396 and 13482405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13482433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51133 + ... + 51395.

Almost surely, 213482432 is an apocalyptic number.

13482432 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 13482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613880).

13482432 is an abundant number, since it is smaller than the sum of its proper divisors (25745328).

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

13482432 is a wasteful number, since it uses less digits than its factorization.

13482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 13482432 is about 3671.8431339043. The cubic root of 13482432 is about 238.0068260641.

The spelling of 13482432 in words is "thirteen million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 263 267 288 356 526 534 576 712 789 801 1052 1068 1424 1578 1602 2104 2136 2367 2848 3156 3204 4208 4272 4734 5696 6312 6408 8416 8544 9468 12624 12816 16832 17088 18936 23407 25248 25632 37872 46814 50496 51264 70221 75744 93628 140442 151488 187256 210663 280884 374512 421326 561768 749024 842652 1123536 1498048 1685304 2247072 3370608 4494144 6741216 13482432