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413106 = 23312221
BaseRepresentation
bin1100100110110110010
3202222200020
41210312302
5101204411
612504310
73340251
oct1446662
9688606
10413106
11262411
1217b096
13116055
14aa798
1582606
hex64db2

413106 has 16 divisors (see below), whose sum is σ = 853248. Its totient is φ = 133200.

The previous prime is 413093. The next prime is 413111. The reversal of 413106 is 601314.

It is an unprimeable number.

413106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (53328).

2413106 is an apocalyptic number.

413106 is the 407-th centered pentagonal number.

413106 is an abundant number, since it is smaller than the sum of its proper divisors (440142).

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

413106 is a wasteful number, since it uses less digits than its factorization.

413106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413106 is about 642.7332261522. The cubic root of 413106 is about 74.4767129896.

The spelling of 413106 in words is "four hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 31 62 93 186 2221 4442 6663 13326 68851 137702 206553 413106