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12516390 = 2335151307
BaseRepresentation
bin101111101111…
…110000100110
3212112220021000
4233233300212
511201011030
61124134130
7211246635
oct57576046
925486230
1012516390
117079827
124237346
132793063
14193b51c
151173860
hexbefc26

12516390 has 64 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 3304800.

The previous prime is 12516389. The next prime is 12516401. The reversal of 12516390 is 9361521.

12516390 is a `hidden beast` number, since 1 + 25 + 1 + 639 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40617 + ... + 40923.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 212516390 is an apocalyptic number.

12516390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12516390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

12516390 is an abundant number, since it is smaller than the sum of its proper divisors (21191130).

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

12516390 is a wasteful number, since it uses less digits than its factorization.

12516390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12516390 is about 3537.8510426529. The cubic root of 12516390 is about 232.1808315674.

The spelling of 12516390 in words is "twelve million, five hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 307 453 614 755 906 921 1359 1510 1535 1842 2265 2718 2763 3070 4077 4530 4605 5526 6795 8154 8289 9210 13590 13815 16578 20385 27630 40770 41445 46357 82890 92714 139071 231785 278142 417213 463570 695355 834426 1251639 1390710 2086065 2503278 4172130 6258195 12516390