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13105476 = 223597139
BaseRepresentation
bin110001111111…
…100101000100
3220122211100000
4301333211010
511323333401
61144521300
7216252246
oct61774504
926584300
1013105476
11744137a
124480230
13293b227
141a52096
15123d186
hexc7f944

13105476 has 72 divisors (see below), whose sum is σ = 34958560. Its totient is φ = 4292352.

The previous prime is 13105439. The next prime is 13105481. The reversal of 13105476 is 67450131.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 94215 + ... + 94353.

Almost surely, 213105476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479280).

13105476 is an abundant number, since it is smaller than the sum of its proper divisors (21853084).

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

13105476 is a wasteful number, since it uses less digits than its factorization.

13105476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13105476 is about 3620.1486157339. The cubic root of 13105476 is about 235.7676781057.

It can be divided in two parts, 1310 and 5476, that added together give a triangular number (6786 = T116).

The spelling of 13105476 in words is "thirteen million, one hundred five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 139 162 194 243 278 291 324 388 417 486 556 582 834 873 972 1164 1251 1668 1746 2502 2619 3492 3753 5004 5238 7506 7857 10476 11259 13483 15012 15714 22518 23571 26966 31428 33777 40449 45036 47142 53932 67554 80898 94284 121347 135108 161796 242694 364041 485388 728082 1092123 1456164 2184246 3276369 4368492 6552738 13105476