Search a number
-
+
13113072 = 2432713009
BaseRepresentation
bin110010000001…
…011011110000
3220200012202100
4302001123300
511324104242
61145020400
7216313350
oct62013360
926605670
1013113072
117447055
124484700
13294181b
141a54b60
15124054c
hexc816f0

13113072 has 60 divisors (see below), whose sum is σ = 41944240. Its totient is φ = 3746304.

The previous prime is 13113053. The next prime is 13113073. The reversal of 13113072 is 27031131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113073) 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, 5497 + ... + 7512.

Almost surely, 213113072 is an apocalyptic number.

13113072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113072 is an abundant number, since it is smaller than the sum of its proper divisors (28831168).

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

13113072 is a wasteful number, since it uses less digits than its factorization.

13113072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13113072 is about 3621.1975919577. The cubic root of 13113072 is about 235.8132200199.

It can be divided in two parts, 131 and 13072, that added together give a triangular number (13203 = T162).

The spelling of 13113072 in words is "thirteen million, one hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 13009 26018 39027 52036 78054 91063 104072 117081 156108 182126 208144 234162 273189 312216 364252 468324 546378 624432 728504 819567 936648 1092756 1457008 1639134 1873296 2185512 3278268 4371024 6556536 13113072