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12284132 = 22717131197
BaseRepresentation
bin101110110111…
…000011100100
3212010002122212
4232313003210
511121043012
61115142552
7206261540
oct56670344
925102585
1012284132
116a30283
124144a58
132711423
1418baa20
151129b22
hexbb70e4

12284132 has 48 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 4892160.

The previous prime is 12284131. The next prime is 12284137. The reversal of 12284132 is 23148221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12284098 and 12284107.

It is not an unprimeable number, because it can be changed into a prime (12284131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62258 + ... + 62454.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 212284132 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 12284132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

12284132 is an abundant number, since it is smaller than the sum of its proper divisors (14060956).

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

12284132 is a wasteful number, since it uses less digits than its factorization.

12284132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 12284132 is about 3504.8726082413. The cubic root of 12284132 is about 230.7357159420.

The spelling of 12284132 in words is "twelve million, two hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 131 197 238 262 394 476 524 788 917 1379 1834 2227 2758 3349 3668 4454 5516 6698 8908 13396 15589 23443 25807 31178 46886 51614 62356 93772 103228 180649 361298 438719 722596 877438 1754876 3071033 6142066 12284132