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12974820 = 22354347107
BaseRepresentation
bin110001011111…
…101011100100
3220102012002220
4301133223210
511310143240
61142032340
7215166315
oct61375344
926365086
1012974820
1173621a1
1244186b0
1328c3911
141a1a60c
1512145d0
hexc5fae4

12974820 has 96 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 3276672.

The previous prime is 12974813. The next prime is 12974831. The reversal of 12974820 is 2847921.

It is a happy 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, 121207 + ... + 121313.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 212974820 is an apocalyptic number.

12974820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

12974820 is an abundant number, since it is smaller than the sum of its proper divisors (25345308).

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

12974820 is a wasteful number, since it uses less digits than its factorization.

12974820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12974820 is about 3602.0577452340. The cubic root of 12974820 is about 234.9815588366.

The spelling of 12974820 in words is "twelve million, nine hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 107 129 141 172 188 214 215 235 258 282 321 428 430 470 516 535 564 642 645 705 860 940 1070 1284 1290 1410 1605 2021 2140 2580 2820 3210 4042 4601 5029 6063 6420 8084 9202 10058 10105 12126 13803 15087 18404 20116 20210 23005 24252 25145 27606 30174 30315 40420 46010 50290 55212 60348 60630 69015 75435 92020 100580 121260 138030 150870 216247 276060 301740 432494 648741 864988 1081235 1297482 2162470 2594964 3243705 4324940 6487410 12974820