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13106478 = 2371122579
BaseRepresentation
bin110001111111…
…110100101110
3220122212201010
4301333310232
511323401403
61144530050
7216255210
oct61776456
926585633
1013106478
117442100
124480926
13293b818
141a525b0
15123d603
hexc7fd2e

13106478 has 48 divisors (see below), whose sum is σ = 32941440. Its totient is φ = 3402960.

The previous prime is 13106453. The next prime is 13106479. The reversal of 13106478 is 87460131.

It is a happy number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793 + ... + 6371.

It is an arithmetic number, because the mean of its divisors is an integer number (686280).

Almost surely, 213106478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470720).

13106478 is an abundant number, since it is smaller than the sum of its proper divisors (19834962).

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

13106478 is a wasteful number, since it uses less digits than its factorization.

13106478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13106478 is about 3620.2870051972. The cubic root of 13106478 is about 235.7736866168.

It can be divided in two parts, 13 and 106478, that added together give a triangular number (106491 = T461).

The spelling of 13106478 in words is "thirteen million, one hundred six thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 2579 5082 5158 7737 15474 18053 28369 36106 54159 56738 85107 108318 170214 198583 312059 397166 595749 624118 936177 1191498 1872354 2184413 4368826 6553239 13106478