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13058226 = 233793061
BaseRepresentation
bin110001110100…
…000010110010
3220120102112000
4301310002302
511320330401
61143514430
7215664426
oct61640262
926512460
1013058226
117409925
124458a16
13292287c
141a3cb86
15122e186
hexc740b2

13058226 has 32 divisors (see below), whose sum is σ = 29395200. Its totient is φ = 4296240.

The previous prime is 13058203. The next prime is 13058239. The reversal of 13058226 is 62285031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13058226.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (918600).

Almost surely, 213058226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697600).

13058226 is an abundant number, since it is smaller than the sum of its proper divisors (16336974).

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

13058226 is a wasteful number, since it uses less digits than its factorization.

13058226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13058226 is about 3613.6167478027. The cubic root of 13058226 is about 235.4839942061.

The spelling of 13058226 in words is "thirteen million, fifty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 3061 4266 6122 9183 18366 27549 55098 82647 165294 241819 483638 725457 1450914 2176371 4352742 6529113 13058226