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12397080 = 23351759103
BaseRepresentation
bin101111010010…
…101000011000
3212022211121010
4233102220120
511133201310
61121413520
7210242043
oct57225030
925284533
1012397080
116aa8123
12419a2a0
132750967
141909c5a
15114d320
hexbd2a18

12397080 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3028992.

The previous prime is 12397067. The next prime is 12397081. The reversal of 12397080 is 8079321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12397081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120309 + ... + 120411.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 212397080 is an apocalyptic number.

12397080 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 12397080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12397080 is an abundant number, since it is smaller than the sum of its proper divisors (28038120).

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

12397080 is a wasteful number, since it uses less digits than its factorization.

12397080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12397080 is about 3520.9487357813. The cubic root of 12397080 is about 231.4407357466.

The spelling of 12397080 in words is "twelve million, three hundred ninety-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 59 60 68 85 102 103 118 120 136 170 177 204 206 236 255 295 309 340 354 408 412 472 510 515 590 618 680 708 824 885 1003 1020 1030 1180 1236 1416 1545 1751 1770 2006 2040 2060 2360 2472 3009 3090 3502 3540 4012 4120 5015 5253 6018 6077 6180 7004 7080 8024 8755 10030 10506 12036 12154 12360 14008 15045 17510 18231 20060 21012 24072 24308 26265 30090 30385 35020 36462 40120 42024 48616 52530 60180 60770 70040 72924 91155 103309 105060 120360 121540 145848 182310 206618 210120 243080 309927 364620 413236 516545 619854 729240 826472 1033090 1239708 1549635 2066180 2479416 3099270 4132360 6198540 12397080