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13100256 = 2532133499
BaseRepresentation
bin110001111110…
…010011100000
3220122120011200
4301332103200
511323202011
61144441200
7216231111
oct61762340
926576150
1013100256
117438464
124479200
132938a40
141a50208
15123b856
hexc7e4e0

13100256 has 72 divisors (see below), whose sum is σ = 40131000. Its totient is φ = 4029696.

The previous prime is 13100249. The next prime is 13100267. The reversal of 13100256 is 65200131.

13100256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1995 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (557375).

Almost surely, 213100256 is an apocalyptic number.

13100256 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 13100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20065500).

13100256 is an abundant number, since it is smaller than the sum of its proper divisors (27030744).

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

13100256 is a wasteful number, since it uses less digits than its factorization.

13100256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13100256 is about 3619.4275790517. The cubic root of 13100256 is about 235.7363713269.

Adding to 13100256 its reverse (65200131), we get a palindrome (78300387).

The spelling of 13100256 in words is "thirteen million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3499 3744 6998 10497 13996 20994 27992 31491 41988 45487 55984 62982 83976 90974 111968 125964 136461 167952 181948 251928 272922 335904 363896 409383 503856 545844 727792 818766 1007712 1091688 1455584 1637532 2183376 3275064 4366752 6550128 13100256