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20942112 = 253312227
BaseRepresentation
bin100111111100…
…0110100100000
31110101222011210
41033320310200
520330121422
62024510120
7343001502
oct117706440
943358153
1020942112
1110904134
12701b340
1344531a9
142ad1d72
151c8a10c
hex13f8d20

20942112 has 72 divisors (see below), whose sum is σ = 57053808. Its totient is φ = 6725760.

The previous prime is 20942101. The next prime is 20942149. The reversal of 20942112 is 21124902.

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, 92143 + ... + 92369.

It is an arithmetic number, because the mean of its divisors is an integer number (792414).

Almost surely, 220942112 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 20942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28526904).

20942112 is an abundant number, since it is smaller than the sum of its proper divisors (36111696).

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

20942112 is a wasteful number, since it uses less digits than its factorization.

20942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20942112 is about 4576.2552376370. The cubic root of 20942112 is about 275.6386786266.

The spelling of 20942112 in words is "twenty million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 227 248 372 454 496 681 744 908 961 992 1362 1488 1816 1922 2724 2883 2976 3632 3844 5448 5766 7037 7264 7688 10896 11532 14074 15376 21111 21792 23064 28148 30752 42222 46128 56296 84444 92256 112592 168888 218147 225184 337776 436294 654441 675552 872588 1308882 1745176 2617764 3490352 5235528 6980704 10471056 20942112