Search a number
-
+
20258676 = 22322343569
BaseRepresentation
bin100110101000…
…1111101110100
31102010020200100
41031101331310
520141234201
62002114100
7334124124
oct115217564
942106610
1020258676
1110487709
12694b930
1342740a9
142994c84
151ba2886
hex1351f74

20258676 has 72 divisors (see below), whose sum is σ = 54774720. Its totient is φ = 6297984.

The previous prime is 20258663. The next prime is 20258737. The reversal of 20258676 is 67685202.

20258676 is a `hidden beast` number, since 2 + 0 + 2 + 586 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20258676.

It is a congruent number.

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, 35320 + ... + 35888.

It is an arithmetic number, because the mean of its divisors is an integer number (760760).

Almost surely, 220258676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20258676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387360).

20258676 is an abundant number, since it is smaller than the sum of its proper divisors (34516044).

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

20258676 is a wasteful number, since it uses less digits than its factorization.

20258676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20258676 is about 4500.9638967670. The cubic root of 20258676 is about 272.6070101280.

It can be divided in two parts, 2025 and 8676, that added together give a palindrome (10701).

The spelling of 20258676 in words is "twenty million, two hundred fifty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 569 774 828 989 1138 1548 1707 1978 2276 2967 3414 3956 5121 5934 6828 8901 10242 11868 13087 17802 20484 24467 26174 35604 39261 48934 52348 73401 78522 97868 117783 146802 157044 220203 235566 293604 440406 471132 562741 880812 1125482 1688223 2250964 3376446 5064669 6752892 10129338 20258676