Search a number
-
+
12064704 = 263312027
BaseRepresentation
bin101110000001…
…011111000000
3211200221122220
4232001133000
511042032304
61110331040
7204356031
oct56013700
924627586
1012064704
1168a0433
124059a80
1326655a2
141860a88
1510d4ad9
hexb817c0

12064704 has 56 divisors (see below), whose sum is σ = 32967168. Its totient is φ = 3889920.

The previous prime is 12064691. The next prime is 12064709. The reversal of 12064704 is 40746021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4939 + ... + 6965.

Almost surely, 212064704 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 12064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483584).

12064704 is an abundant number, since it is smaller than the sum of its proper divisors (20902464).

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

12064704 is a wasteful number, since it uses less digits than its factorization.

12064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12064704 is about 3473.4282776531. The cubic root of 12064704 is about 229.3535977526.

The spelling of 12064704 in words is "twelve million, sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2027 2976 4054 5952 6081 8108 12162 16216 24324 32432 48648 62837 64864 97296 125674 129728 188511 194592 251348 377022 389184 502696 754044 1005392 1508088 2010784 3016176 4021568 6032352 12064704