Search a number
-
+
13126932 = 22327134007
BaseRepresentation
bin110010000100…
…110100010100
3220200220202200
4302010310110
511330030212
61145204500
7216401640
oct62046424
926626680
1013126932
117456505
124490730
132947c20
141a59c20
1512446dc
hexc84d14

13126932 has 72 divisors (see below), whose sum is σ = 40849536. Its totient is φ = 3461184.

The previous prime is 13126921. The next prime is 13126957. The reversal of 13126932 is 23962131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 13126896 and 13126905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273 + ... + 5279.

Almost surely, 213126932 is an apocalyptic number.

13126932 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 13126932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424768).

13126932 is an abundant number, since it is smaller than the sum of its proper divisors (27722604).

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

13126932 is a wasteful number, since it uses less digits than its factorization.

13126932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4032 counting only the distinct ones).

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

The square root of 13126932 is about 3623.1108180678. The cubic root of 13126932 is about 235.8962725239.

The spelling of 13126932 in words is "thirteen million, one hundred twenty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 4007 8014 12021 16028 24042 28049 36063 48084 52091 56098 72126 84147 104182 112196 144252 156273 168294 208364 252441 312546 336588 364637 468819 504882 625092 729274 937638 1009764 1093911 1458548 1875276 2187822 3281733 4375644 6563466 13126932