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12083124 = 2231761971
BaseRepresentation
bin101110000101…
…111110110100
3211201212221010
4232011332310
511043124444
61110552220
7204463524
oct56057664
924655833
1012083124
116903259
124068670
132670aa1
141867684
1510da2b9
hexb85fb4

12083124 has 48 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 3724800.

The previous prime is 12083117. The next prime is 12083167. The reversal of 12083124 is 42138021.

It is a self number, because there is not a number n which added to its sum of digits gives 12083124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11959 + ... + 12929.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 212083124 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 12083124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528).

12083124 is an abundant number, since it is smaller than the sum of its proper divisors (18289932).

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

12083124 is a wasteful number, since it uses less digits than its factorization.

12083124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12083124 is about 3476.0788253433. The cubic root of 12083124 is about 229.4702616191.

The spelling of 12083124 in words is "twelve million, eighty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 971 1037 1942 2074 2913 3111 3884 4148 5826 6222 11652 12444 16507 33014 49521 59231 66028 99042 118462 177693 198084 236924 355386 710772 1006927 2013854 3020781 4027708 6041562 12083124