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10094112 = 253371669
BaseRepresentation
bin100110100000…
…011000100000
3200222211112000
4212200120200
510041002422
61000204000
7151540620
oct46403040
920884460
1010094112
115774946
123469600
132125662
1414aa880
15d45cac
hex9a0620

10094112 has 96 divisors (see below), whose sum is σ = 33667200. Its totient is φ = 2882304.

The previous prime is 10094099. The next prime is 10094137. The reversal of 10094112 is 21149001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214 + ... + 6882.

It is an arithmetic number, because the mean of its divisors is an integer number (350700).

Almost surely, 210094112 is an apocalyptic number.

10094112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833600).

10094112 is an abundant number, since it is smaller than the sum of its proper divisors (23573088).

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

10094112 is a wasteful number, since it uses less digits than its factorization.

10094112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10094112 is about 3177.1232270719. The cubic root of 10094112 is about 216.1172203252.

The spelling of 10094112 in words is "ten million, ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 1669 2016 3024 3338 5007 6048 6676 10014 11683 13352 15021 20028 23366 26704 30042 35049 40056 45063 46732 53408 60084 70098 80112 90126 93464 105147 120168 140196 160224 180252 186928 210294 240336 280392 315441 360504 373856 420588 480672 560784 630882 721008 841176 1121568 1261764 1442016 1682352 2523528 3364704 5047056 10094112