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12977064 = 233373823
BaseRepresentation
bin110001100000…
…001110101000
3220102022012000
4301200032220
511310231224
61142051000
7215206002
oct61401650
926368160
1012977064
117363951
124419a60
1328c4949
141a1b372
1512150c9
hexc603a8

12977064 has 64 divisors (see below), whose sum is σ = 36585600. Its totient is φ = 4261248.

The previous prime is 12977059. The next prime is 12977071. The reversal of 12977064 is 46077921.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15357 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (571650).

Almost surely, 212977064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292800).

12977064 is an abundant number, since it is smaller than the sum of its proper divisors (23608536).

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

12977064 is a wasteful number, since it uses less digits than its factorization.

12977064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12977064 is about 3602.3692203882. The cubic root of 12977064 is about 234.9951047720.

The spelling of 12977064 in words is "twelve million, nine hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 823 876 1314 1646 1752 1971 2469 2628 3292 3942 4938 5256 6584 7407 7884 9876 14814 15768 19752 22221 29628 44442 59256 60079 88884 120158 177768 180237 240316 360474 480632 540711 720948 1081422 1441896 1622133 2162844 3244266 4325688 6488532 12977064