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12294072 = 2333747173
BaseRepresentation
bin101110111001…
…011110111000
3212010121022000
4232321132320
511121402242
61115301000
7206332530
oct56713670
925117260
1012294072
116a3779a
12414a760
132715acb
1418c04c0
15112ca4c
hexbb97b8

12294072 has 128 divisors (see below), whose sum is σ = 40089600. Its totient is φ = 3417984.

The previous prime is 12294067. The next prime is 12294089. The reversal of 12294072 is 27049221.

It is a super-2 number, since 2×122940722 = 302288412682368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70978 + ... + 71150.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 212294072 is an apocalyptic number.

12294072 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 12294072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044800).

12294072 is an abundant number, since it is smaller than the sum of its proper divisors (27795528).

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

12294072 is a wasteful number, since it uses less digits than its factorization.

12294072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12294072 is about 3506.2903473614. The cubic root of 12294072 is about 230.7979342758.

The spelling of 12294072 in words is "twelve million, two hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 173 188 189 216 252 282 329 346 376 378 423 504 519 564 658 692 756 846 987 1038 1128 1211 1269 1316 1384 1512 1557 1692 1974 2076 2422 2538 2632 2961 3114 3384 3633 3948 4152 4671 4844 5076 5922 6228 7266 7896 8131 8883 9342 9688 10152 10899 11844 12456 14532 16262 17766 18684 21798 23688 24393 29064 32524 32697 35532 37368 43596 48786 56917 65048 65394 71064 73179 87192 97572 113834 130788 146358 170751 195144 219537 227668 261576 292716 341502 439074 455336 512253 585432 683004 878148 1024506 1366008 1536759 1756296 2049012 3073518 4098024 6147036 12294072