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13130832 = 24311131913
BaseRepresentation
bin110010000101…
…110001010000
3220201010010010
4302011301100
511330141312
61145234520
7216416211
oct62056120
926633103
1013130832
117459430
124492a40
132949930
141a5b408
15124593c
hexc85c50

13130832 has 80 divisors (see below), whose sum is σ = 39872448. Its totient is φ = 3671040.

The previous prime is 13130807. The next prime is 13130837. The reversal of 13130832 is 23803131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13130799 and 13130808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5908 + ... + 7820.

Almost surely, 213130832 is an apocalyptic number.

13130832 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 13130832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936224).

13130832 is an abundant number, since it is smaller than the sum of its proper divisors (26741616).

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

13130832 is a wasteful number, since it uses less digits than its factorization.

13130832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13130832 is about 3623.6489896236. The cubic root of 13130832 is about 235.9196317360.

Adding to 13130832 its reverse (23803131), we get a palindrome (36933963).

The spelling of 13130832 in words is "thirteen million, one hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 1913 2288 3432 3826 5739 6864 7652 11478 15304 21043 22956 24869 30608 42086 45912 49738 63129 74607 84172 91824 99476 126258 149214 168344 198952 252516 273559 298428 336688 397904 505032 547118 596856 820677 1010064 1094236 1193712 1641354 2188472 3282708 4376944 6565416 13130832