Search a number
-
+
13351032 = 23321071733
BaseRepresentation
bin110010111011…
…100001111000
3221010022011200
4302323201320
511404213112
61154054200
7221324202
oct62734170
927108150
1013351032
117599912
12457a360
1329c5c26
141ab7772
15128acdc
hexcbb878

13351032 has 48 divisors (see below), whose sum is σ = 36518040. Its totient is φ = 4406208.

The previous prime is 13351031. The next prime is 13351057. The reversal of 13351032 is 23015331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13350996 and 13351014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6838 + ... + 8570.

Almost surely, 213351032 is an apocalyptic number.

13351032 is a gapful number since it is divisible by the number (12) 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 13351032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18259020).

13351032 is an abundant number, since it is smaller than the sum of its proper divisors (23167008).

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

13351032 is a wasteful number, since it uses less digits than its factorization.

13351032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13351032 is about 3653.9064027421. The cubic root of 13351032 is about 237.2310943580.

Adding to 13351032 its reverse (23015331), we get a palindrome (36366363).

The spelling of 13351032 in words is "thirteen million, three hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1733 1926 2568 3466 3852 5199 6932 7704 10398 13864 15597 20796 31194 41592 62388 124776 185431 370862 556293 741724 1112586 1483448 1668879 2225172 3337758 4450344 6675516 13351032