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20258112 = 263715073
BaseRepresentation
bin100110101000…
…1110101000000
31102010012220110
41031101311000
520141224422
62002111320
7334122360
oct115216500
942105813
1020258112
1110487246
12694b540
134273a64
1429949a0
151ba260c
hex1351d40

20258112 has 56 divisors (see below), whose sum is σ = 61260736. Its totient is φ = 5787648.

The previous prime is 20258111. The next prime is 20258113. The reversal of 20258112 is 21185202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20258111) and next prime (20258113).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×202581122 = 820782203609088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20258111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6193 + ... + 8880.

Almost surely, 220258112 is an apocalyptic number.

It is an amenable number.

20258112 is an abundant number, since it is smaller than the sum of its proper divisors (41002624).

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

20258112 is a wasteful number, since it uses less digits than its factorization.

20258112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 20258112 is about 4500.9012430845. The cubic root of 20258112 is about 272.6044803183.

The spelling of 20258112 in words is "twenty million, two hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15073 30146 45219 60292 90438 105511 120584 180876 211022 241168 316533 361752 422044 482336 633066 723504 844088 964672 1266132 1447008 1688176 2532264 2894016 3376352 5064528 6752704 10129056 20258112