Search a number
-
+
13318470 = 23251121223
BaseRepresentation
bin110010110011…
…100101000110
3221001122111200
4302303211012
511402142340
61153243330
7221130234
oct62634506
927048450
1013318470
117577400
124563546
1329b4169
141aa9954
151281330
hexcb3946

13318470 has 72 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 3226080.

The previous prime is 13318457. The next prime is 13318471. The reversal of 13318470 is 7481331.

13318470 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10279 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (529074).

Almost surely, 213318470 is an apocalyptic number.

13318470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13318470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

13318470 is an abundant number, since it is smaller than the sum of its proper divisors (24774858).

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

13318470 is a wasteful number, since it uses less digits than its factorization.

13318470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13318470 is about 3649.4479034506. The cubic root of 13318470 is about 237.0380753867.

It can be divided in two parts, 1331 and 8470, that added together give a square (9801 = 992).

The spelling of 13318470 in words is "thirteen million, three hundred eighteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1223 1815 2178 2446 3630 3669 5445 6115 7338 10890 11007 12230 13453 18345 22014 26906 36690 40359 55035 67265 80718 110070 121077 134530 147983 201795 242154 295966 403590 443949 605385 739915 887898 1210770 1331847 1479830 2219745 2663694 4439490 6659235 13318470