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12428124 = 2232971503
BaseRepresentation
bin101111011010…
…001101011100
3212101102011220
4233122031130
511140144444
61122213340
7210431412
oct57321534
925342156
1012428124
117019485
1241b4250
132761b27
1419172b2
151157619
hexbda35c

12428124 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3935680.

The previous prime is 12428113. The next prime is 12428137. The reversal of 12428124 is 42182421.

It is a junction number, because it is equal to n+sod(n) for n = 12428094 and 12428103.

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, 24457 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 212428124 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 12428124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12428124 is an abundant number, since it is smaller than the sum of its proper divisors (18053796).

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

12428124 is a wasteful number, since it uses less digits than its factorization.

12428124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12428124 is about 3525.3544502645. The cubic root of 12428124 is about 231.6337612345.

The spelling of 12428124 in words is "twelve million, four hundred twenty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 503 852 1006 1509 2012 2059 3018 4118 6036 6177 8236 12354 14587 24708 29174 35713 43761 58348 71426 87522 107139 142852 175044 214278 428556 1035677 2071354 3107031 4142708 6214062 12428124