Search a number
-
+
13105600 = 26528191
BaseRepresentation
bin110001111111…
…100111000000
3220122211111121
4301333213000
511323334400
61144522024
7216252514
oct61774700
926584447
1013105600
117441482
124480314
13293b2c1
141a52144
15123d21a
hexc7f9c0

13105600 has 42 divisors (see below), whose sum is σ = 32251904. Its totient is φ = 5241600.

The previous prime is 13105579. The next prime is 13105601. The reversal of 13105600 is 650131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105601) 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 5 ways as a sum of consecutive naturals, for example, 2496 + ... + 5695.

Almost surely, 213105600 is an apocalyptic number.

13105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105600 is an abundant number, since it is smaller than the sum of its proper divisors (19146304).

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

13105600 is an equidigital number, since it uses as much as digits as its factorization.

13105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13105600 is about 3620.1657420621. The cubic root of 13105600 is about 235.7684216906.

Adding to 13105600 its reverse (650131), we get a palindrome (13755731).

The spelling of 13105600 in words is "thirteen million, one hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8191 16382 32764 40955 65528 81910 131056 163820 204775 262112 327640 409550 524224 655280 819100 1310560 1638200 2621120 3276400 6552800 13105600