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13105026 = 232113547
BaseRepresentation
bin110001111111…
…011110000010
3220122210201100
4301333132002
511323330101
61144515230
7216251034
oct61773602
926583640
1013105026
117441000
12447bb16
13293ac6c
141a51c54
15123ce86
hexc7f782

13105026 has 48 divisors (see below), whose sum is σ = 31288608. Its totient is φ = 3963960.

The previous prime is 13105019. The next prime is 13105049. The reversal of 13105026 is 62050131.

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

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23685 + ... + 24231.

It is an arithmetic number, because the mean of its divisors is an integer number (651846).

Almost surely, 213105026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644304).

13105026 is an abundant number, since it is smaller than the sum of its proper divisors (18183582).

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

13105026 is a wasteful number, since it uses less digits than its factorization.

13105026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

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

The square root of 13105026 is about 3620.0864630558. The cubic root of 13105026 is about 235.7649795729.

Adding to 13105026 its reverse (62050131), we get a palindrome (75155157).

It can be divided in two parts, 1310 and 5026, that added together give a palindrome (6336).

The spelling of 13105026 in words is "thirteen million, one hundred five thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 547 726 1089 1094 1331 1641 2178 2662 3282 3993 4923 6017 7986 9846 11979 12034 18051 23958 36102 54153 66187 108306 132374 198561 397122 595683 728057 1191366 1456114 2184171 4368342 6552513 13105026