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13140192 = 2531310529
BaseRepresentation
bin110010001000…
…000011100000
3220201120221210
4302020003200
511330441232
61145350120
7216455412
oct62100340
926646853
1013140192
11746546a
124498340
132950c80
141a609b2
1512485cc
hexc880e0

13140192 has 48 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 4042752.

The previous prime is 13140181. The next prime is 13140209. The reversal of 13140192 is 29104131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4017 + ... + 6512.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 213140192 is an apocalyptic number.

13140192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13140192 is an abundant number, since it is smaller than the sum of its proper divisors (24009648).

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

13140192 is a wasteful number, since it uses less digits than its factorization.

13140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13140192 is about 3624.9402753701. The cubic root of 13140192 is about 235.9756749802.

The spelling of 13140192 in words is "thirteen million, one hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10529 21058 31587 42116 63174 84232 126348 136877 168464 252696 273754 336928 410631 505392 547508 821262 1010784 1095016 1642524 2190032 3285048 4380064 6570096 13140192