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13040352 = 25361343
BaseRepresentation
bin110001101111…
…101011100000
3220112112000000
4301233223200
511314242402
61143300000
7215561343
oct61575340
926475000
1013040352
1173a7456
12444a600
1329176b0
141a3645a
151228c1c
hexc6fae0

13040352 has 168 divisors, whose sum is σ = 42417144. Its totient is φ = 3919104.

The previous prime is 13040347. The next prime is 13040353. The reversal of 13040352 is 25304031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040353) 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 27 ways as a sum of consecutive naturals, for example, 303243 + ... + 303285.

It is an arithmetic number, because the mean of its divisors is an integer number (252483).

Almost surely, 213040352 is an apocalyptic number.

13040352 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 13040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21208572).

13040352 is an abundant number, since it is smaller than the sum of its proper divisors (29376792).

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

13040352 is an equidigital number, since it uses as much as digits as its factorization.

13040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13040352 is about 3611.1427554169. The cubic root of 13040352 is about 235.3765022490.

Adding to 13040352 its reverse (25304031), we get a palindrome (38344383).

The spelling of 13040352 in words is "thirteen million, forty thousand, three hundred fifty-two".