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20465406 = 2331329153
BaseRepresentation
bin100111000010…
…0011011111110
31102111202021000
41032010123332
520214343111
62010351130
7335644623
oct116043376
942452230
1020465406
1110608a65
126a2b4a6
134317210
142a0a34a
151be3c56
hex13846fe

20465406 has 32 divisors (see below), whose sum is σ = 48978720. Its totient is φ = 6296832.

The previous prime is 20465369. The next prime is 20465407. The reversal of 20465406 is 60456402.

It is a happy number.

20465406 is a `hidden beast` number, since 2 + 0 + 4 + 654 + 0 + 6 = 666.

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 20465406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20465407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875 + ... + 15278.

It is an arithmetic number, because the mean of its divisors is an integer number (1530585).

Almost surely, 220465406 is an apocalyptic number.

20465406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20465406 is an abundant number, since it is smaller than the sum of its proper divisors (28513314).

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

20465406 is a wasteful number, since it uses less digits than its factorization.

20465406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29177 (or 29171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20465406 is about 4523.8706878071. The cubic root of 20465406 is about 273.5311480333.

The spelling of 20465406 in words is "twenty million, four hundred sixty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 29153 58306 87459 174918 262377 378989 524754 757978 787131 1136967 1574262 2273934 3410901 6821802 10232703 20465406