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13013792 = 251123361
BaseRepresentation
bin110001101001…
…001100100000
3220111011120022
4301221030200
511312420132
61142533012
7215421041
oct61511440
926434508
1013013792
117389500
124437168
13290858c
141a2a8c8
151220e12
hexc69320

13013792 has 36 divisors (see below), whose sum is σ = 28170198. Its totient is φ = 5913600.

The previous prime is 13013773. The next prime is 13013813. The reversal of 13013792 is 29731031.

It can be written as a sum of positive squares in only one way, i.e., 9759376 + 3254416 = 3124^2 + 1804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2192 + ... + 5552.

Almost surely, 213013792 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 13013792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085099).

13013792 is an abundant number, since it is smaller than the sum of its proper divisors (15156406).

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

13013792 is a wasteful number, since it uses less digits than its factorization.

13013792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 13013792 is about 3607.4633747275. The cubic root of 13013792 is about 235.2165922242.

The spelling of 13013792 in words is "thirteen million, thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3361 3872 6722 13444 26888 36971 53776 73942 107552 147884 295768 406681 591536 813362 1183072 1626724 3253448 6506896 13013792