Search a number
-
+
13112176 = 2471129367
BaseRepresentation
bin110010000001…
…001101110000
3220200011112011
4302001031300
511324042201
61145012304
7216310630
oct62011560
926604464
1013112176
117446410
124484094
1329412ac
141a546c0
151240151
hexc81370

13112176 has 80 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 4919040.

The previous prime is 13112161. The next prime is 13112221. The reversal of 13112176 is 67121131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35545 + ... + 35911.

It is an arithmetic number, because the mean of its divisors is an integer number (410688).

Almost surely, 213112176 is an apocalyptic number.

13112176 is a gapful number since it is divisible by the number (16) 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 13112176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427520).

13112176 is an abundant number, since it is smaller than the sum of its proper divisors (19742864).

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

13112176 is a wasteful number, since it uses less digits than its factorization.

13112176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 13112176 is about 3621.0738738667. The cubic root of 13112176 is about 235.8078489557.

The spelling of 13112176 in words is "thirteen million, one hundred twelve thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 367 406 464 616 638 734 812 1232 1276 1468 1624 2233 2552 2569 2936 3248 4037 4466 5104 5138 5872 8074 8932 10276 10643 16148 17864 20552 21286 28259 32296 35728 41104 42572 56518 64592 74501 85144 113036 117073 149002 170288 226072 234146 298004 452144 468292 596008 819511 936584 1192016 1639022 1873168 3278044 6556088 13112176