Search a number
-
+
13148856 = 2332723727
BaseRepresentation
bin110010001010…
…001010111000
3220202000211200
4302022022320
511331230411
61145454200
7216522600
oct62121270
926660750
1013148856
117470a26
1244a1360
132954bb6
141a63c00
15124ae56
hexc8a2b8

13148856 has 72 divisors (see below), whose sum is σ = 41436720. Its totient is φ = 3755808.

The previous prime is 13148831. The next prime is 13148857. The reversal of 13148856 is 65884131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13148856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13148857) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1665 + ... + 5391.

It is an arithmetic number, because the mean of its divisors is an integer number (575510).

Almost surely, 213148856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718360).

13148856 is an abundant number, since it is smaller than the sum of its proper divisors (28287864).

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

13148856 is a wasteful number, since it uses less digits than its factorization.

13148856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3739 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13148856 is about 3626.1351326171. The cubic root of 13148856 is about 236.0275271922.

The spelling of 13148856 in words is "thirteen million, one hundred forty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3727 7454 11181 14908 22362 26089 29816 33543 44724 52178 67086 78267 89448 104356 134172 156534 182623 208712 234801 268344 313068 365246 469602 547869 626136 730492 939204 1095738 1460984 1643607 1878408 2191476 3287214 4382952 6574428 13148856