Search a number
-
+
13512992 = 2537101113
BaseRepresentation
bin110011100011…
…000100100000
3221102112100012
4303203010200
511424403432
61201344052
7222600323
oct63430440
927375305
1013512992
11769a569
124638028
132a5186c
141b1a7ba
1512bdcb2
hexce3120

13512992 has 48 divisors (see below), whose sum is σ = 27837432. Its totient is φ = 6451200.

The previous prime is 13512991. The next prime is 13512997. The reversal of 13512992 is 29921531.

It can be written as a sum of positive squares in 4 ways, for example, as 12988816 + 524176 = 3604^2 + 724^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13512991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119528 + ... + 119640.

Almost surely, 213512992 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 13512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918716).

13512992 is an abundant number, since it is smaller than the sum of its proper divisors (14324440).

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

13512992 is a wasteful number, since it uses less digits than its factorization.

13512992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 13512992 is about 3676.0021762779. The cubic root of 13512992 is about 238.1865166922.

The spelling of 13512992 in words is "thirteen million, five hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 74 101 113 148 202 226 296 404 452 592 808 904 1184 1616 1808 3232 3616 3737 4181 7474 8362 11413 14948 16724 22826 29896 33448 45652 59792 66896 91304 119584 133792 182608 365216 422281 844562 1689124 3378248 6756496 13512992