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12897180 = 22325137523
BaseRepresentation
bin110001001100…
…101110011100
3220021020121100
4301030232130
511300202210
61140233100
7214424052
oct61145634
926236540
1012897180
11730992a
12439b790
13289748a
1419da1d2
1511eb5c0
hexc4cb9c

12897180 has 72 divisors (see below), whose sum is σ = 39482352. Its totient is φ = 3407616.

The previous prime is 12897173. The next prime is 12897191. The reversal of 12897180 is 8179821.

12897180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24399 + ... + 24921.

It is an arithmetic number, because the mean of its divisors is an integer number (548366).

Almost surely, 212897180 is an apocalyptic number.

12897180 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 12897180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19741176).

12897180 is an abundant number, since it is smaller than the sum of its proper divisors (26585172).

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

12897180 is a wasteful number, since it uses less digits than its factorization.

12897180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12897180 is about 3591.2644012938. The cubic root of 12897180 is about 234.5119189314.

The spelling of 12897180 in words is "twelve million, eight hundred ninety-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 523 548 685 822 1046 1233 1370 1569 1644 2055 2092 2466 2615 2740 3138 4110 4707 4932 5230 6165 6276 7845 8220 9414 10460 12330 15690 18828 23535 24660 31380 47070 71651 94140 143302 214953 286604 358255 429906 644859 716510 859812 1074765 1289718 1433020 2149530 2579436 3224295 4299060 6448590 12897180