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12746328 = 2337174463
BaseRepresentation
bin110000100111…
…111001011000
3212222120200020
4300213321120
511230340303
61133110440
7213225210
oct60477130
925876606
1012746328
117216561
124328420
13284390a
14199b240
1511bba53
hexc27e58

12746328 has 64 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3426816.

The previous prime is 12746309. The next prime is 12746339. The reversal of 12746328 is 82364721.

12746328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 625 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 212746328 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 12746328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12746328 is an abundant number, since it is smaller than the sum of its proper divisors (25822632).

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

12746328 is a wasteful number, since it uses less digits than its factorization.

12746328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4492 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 12746328 is about 3570.1999943981. The cubic root of 12746328 is about 233.5940070865.

The spelling of 12746328 in words is "twelve million, seven hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 4463 8926 13389 17852 26778 31241 35704 53556 62482 75871 93723 107112 124964 151742 187446 227613 249928 303484 374892 455226 531097 606968 749784 910452 1062194 1593291 1820904 2124388 3186582 4248776 6373164 12746328