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20006112 = 253724253
BaseRepresentation
bin100110001010…
…0010011100000
31101122102020010
41030110103200
520110143422
61552444520
7332022600
oct114242340
941572203
1020006112
1110324985
126849740
1341b6149
14292ac00
151b52b0c
hex13144e0

20006112 has 72 divisors (see below), whose sum is σ = 61104456. Its totient is φ = 5714688.

The previous prime is 20006101. The next prime is 20006123. The reversal of 20006112 is 21160002.

It is an interprime number because it is at equal distance from previous prime (20006101) and next prime (20006123).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2578 + ... + 6830.

It is an arithmetic number, because the mean of its divisors is an integer number (848673).

Almost surely, 220006112 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 20006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30552228).

20006112 is an abundant number, since it is smaller than the sum of its proper divisors (41098344).

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

20006112 is a wasteful number, since it uses less digits than its factorization.

20006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20006112 is about 4472.8192451741. The cubic root of 20006112 is about 271.4694097107.

Adding to 20006112 its reverse (21160002), we get a palindrome (41166114).

The spelling of 20006112 in words is "twenty million, six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4253 4704 8506 12759 17012 25518 29771 34024 51036 59542 68048 89313 102072 119084 136096 178626 204144 208397 238168 357252 408288 416794 476336 625191 714504 833588 952672 1250382 1429008 1667176 2500764 2858016 3334352 5001528 6668704 10003056 20006112