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6413106 = 237435367
BaseRepresentation
bin11000011101101100110010
3110001211010110
4120131230302
53120204411
6345242150
7105340050
oct30355462
913054113
106413106
113690297
122193356
13143704b
14bcd1d0
1586a2a6
hex61db32

6413106 has 64 divisors (see below), whose sum is σ = 15510528. Its totient is φ = 1729728.

The previous prime is 6413101. The next prime is 6413111. The reversal of 6413106 is 6013146.

6413106 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6413101) and next prime (6413111).

It is a super-2 number, since 2×64131062 = 82255857134472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (6413101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95685 + ... + 95751.

It is an arithmetic number, because the mean of its divisors is an integer number (242352).

Almost surely, 26413106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755264).

6413106 is an abundant number, since it is smaller than the sum of its proper divisors (9097422).

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

6413106 is a wasteful number, since it uses less digits than its factorization.

6413106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6413106 is about 2532.4111040666. The cubic root of 6413106 is about 185.7902016483.

The spelling of 6413106 in words is "six million, four hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 43 53 67 86 106 129 134 159 201 258 301 318 371 402 469 602 742 903 938 1113 1407 1806 2226 2279 2814 2881 3551 4558 5762 6837 7102 8643 10653 13674 15953 17286 20167 21306 24857 31906 40334 47859 49714 60501 74571 95718 121002 149142 152693 305386 458079 916158 1068851 2137702 3206553 6413106