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12187680 = 253525391
BaseRepresentation
bin101110011111…
…100000100000
3211221012100120
4232133200200
511110001210
61113120240
7205410411
oct56374040
924835316
1012187680
11697486a
1240b9080
1326a955b
141893808
15110b270
hexb9f820

12187680 has 48 divisors (see below), whose sum is σ = 38392704. Its totient is φ = 3249920.

The previous prime is 12187667. The next prime is 12187687. The reversal of 12187680 is 8678121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12187687) 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 7 ways as a sum of consecutive naturals, for example, 12216 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (799848).

Almost surely, 212187680 is an apocalyptic number.

12187680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12187680 is an abundant number, since it is smaller than the sum of its proper divisors (26205024).

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

12187680 is a wasteful number, since it uses less digits than its factorization.

12187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25409 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12187680 is about 3491.0857909825. The cubic root of 12187680 is about 230.1302350006.

The spelling of 12187680 in words is "twelve million, one hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25391 50782 76173 101564 126955 152346 203128 253910 304692 380865 406256 507820 609384 761730 812512 1015640 1218768 1523460 2031280 2437536 3046920 4062560 6093840 12187680