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12281904 = 243219672
BaseRepresentation
bin101110110110…
…100000110000
3212002222121100
4232312200300
511121010104
61115124400
7206252205
oct56664060
925088540
1012281904
116a29638
124143700
1327103cb
1418b9cac
151129139
hexbb6830

12281904 has 90 divisors (see below), whose sum is σ = 36729420. Its totient is φ = 3820608.

The previous prime is 12281881. The next prime is 12281909. The reversal of 12281904 is 40918221.

It is not an unprimeable number, because it can be changed into a prime (12281909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 183279 + ... + 183345.

Almost surely, 212281904 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 12281904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364710).

12281904 is an abundant number, since it is smaller than the sum of its proper divisors (24447516).

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

12281904 is a wasteful number, since it uses less digits than its factorization.

12281904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12281904 is about 3504.5547506067. The cubic root of 12281904 is about 230.7217654173.

The spelling of 12281904 in words is "twelve million, two hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 67 72 76 114 134 144 152 171 201 228 268 304 342 402 456 536 603 684 804 912 1072 1206 1273 1368 1608 2412 2546 2736 3216 3819 4489 4824 5092 7638 8978 9648 10184 11457 13467 15276 17956 20368 22914 26934 30552 35912 40401 45828 53868 61104 71824 80802 85291 91656 107736 161604 170582 183312 215472 255873 323208 341164 511746 646416 682328 767619 1023492 1364656 1535238 2046984 3070476 4093968 6140952 12281904