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12306064 = 248772
BaseRepresentation
bin101110111100…
…011010010000
3212011012202011
4232330122100
511122243224
61115432304
7206412511
oct56743220
925135664
1012306064
116a45801
124155694
13271b3c4
1418c4a08
151131394
hexbbc690

12306064 has 15 divisors (see below), whose sum is σ = 23870217. Its totient is φ = 6146016.

The previous prime is 12306061. The next prime is 12306137. The reversal of 12306064 is 46060321.

The square root of 12306064 is 3508.

It is a perfect power (a square), and thus also a powerful number.

12306064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10368400 + 1937664 = 3220^2 + 1392^2 .

It is a super-2 number, since 2×123060642 = 302878422344192, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12306061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13594 + ... + 14470.

Almost surely, 212306064 is an apocalyptic number.

12306064 is the 3508-th square number.

It is an amenable number.

12306064 is a deficient number, since it is larger than the sum of its proper divisors (11564153).

12306064 is an frugal number, since it uses more digits than its factorization.

12306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 12306064 is about 230.8729522576.

Adding to 12306064 its reverse (46060321), we get a palindrome (58366385).

The spelling of 12306064 in words is "twelve million, three hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 877 1754 3508 7016 14032 769129 1538258 3076516 6153032 12306064