Search a number
-
+
13159400 = 2352193463
BaseRepresentation
bin110010001100…
…101111101000
3220202120022012
4302030233220
511332100100
61150015052
7216565412
oct62145750
926676265
1013159400
117478941
1244a7488
132959937
141a679b2
15124e135
hexc8cbe8

13159400 has 48 divisors (see below), whose sum is σ = 32215200. Its totient is φ = 4985280.

The previous prime is 13159379. The next prime is 13159409. The reversal of 13159400 is 495131.

It is a happy number.

13159400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13159409) 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, 2069 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (671150).

Almost surely, 213159400 is an apocalyptic number.

13159400 is a gapful number since it is divisible by the number (10) 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 13159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107600).

13159400 is an abundant number, since it is smaller than the sum of its proper divisors (19055800).

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

13159400 is a wasteful number, since it uses less digits than its factorization.

13159400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 13159400 is about 3627.5887308238. The cubic root of 13159400 is about 236.0906000893.

The spelling of 13159400 in words is "thirteen million, one hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3463 3800 6926 13852 17315 27704 34630 65797 69260 86575 131594 138520 173150 263188 328985 346300 526376 657970 692600 1315940 1644925 2631880 3289850 6579700 13159400