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12275064 = 233419997
BaseRepresentation
bin101110110100…
…110101111000
3212002122020000
4232310311320
511120300224
61115033000
7206223234
oct56646570
925078200
1012275064
116a2448a
12413b760
13270a269
1418b75c4
1511270c9
hexbb4d78

12275064 has 80 divisors (see below), whose sum is σ = 36227400. Its totient is φ = 3872448.

The previous prime is 12275051. The next prime is 12275069. The reversal of 12275064 is 46057221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12275069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11814 + ... + 12810.

Almost surely, 212275064 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 12275064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113700).

12275064 is an abundant number, since it is smaller than the sum of its proper divisors (23952336).

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

12275064 is a wasteful number, since it uses less digits than its factorization.

12275064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12275064 is about 3503.5787418010. The cubic root of 12275064 is about 230.6789265130.

The spelling of 12275064 in words is "twelve million, two hundred seventy-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 997 1026 1368 1539 1994 2052 2991 3078 3988 4104 5982 6156 7976 8973 11964 12312 17946 18943 23928 26919 35892 37886 53838 56829 71784 75772 80757 107676 113658 151544 161514 170487 215352 227316 323028 340974 454632 511461 646056 681948 1022922 1363896 1534383 2045844 3068766 4091688 6137532 12275064