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13041536 = 27139733
BaseRepresentation
bin110001101111…
…111110000000
3220112120121212
4301233332000
511314312121
61143305252
7215564654
oct61577600
926476555
1013041536
1173a8332
12444b228
1329180b1
141a36a64
15122925b
hexc6ff80

13041536 has 32 divisors (see below), whose sum is σ = 26203800. Its totient is φ = 6465024.

The previous prime is 13041521. The next prime is 13041547. The reversal of 13041536 is 63514031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×130415362 = 340163322478592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17426 + ... + 18158.

Almost surely, 213041536 is an apocalyptic number.

13041536 is a gapful number since it is divisible by the number (16) 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 13041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101900).

13041536 is an abundant number, since it is smaller than the sum of its proper divisors (13162264).

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

13041536 is an equidigital number, since it uses as much as digits as its factorization.

13041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13041536 is about 3611.3066887209. The cubic root of 13041536 is about 235.3836257107.

Adding to 13041536 its reverse (63514031), we get a palindrome (76555567).

The spelling of 13041536 in words is "thirteen million, forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 733 1112 1466 2224 2932 4448 5864 8896 11728 17792 23456 46912 93824 101887 203774 407548 815096 1630192 3260384 6520768 13041536