Search a number
-
+
12545664 = 27337883
BaseRepresentation
bin101111110110…
…111010000000
3212121101102020
4233312322000
511202430124
61124521440
7211431165
oct57667200
925541366
1012545664
11709981a
124250280
1327a3491
14194806c
15117c379
hexbf6e80

12545664 has 64 divisors (see below), whose sum is σ = 34263840. Its totient is φ = 4064256.

The previous prime is 12545647. The next prime is 12545671. The reversal of 12545664 is 46654521.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13767 + ... + 14649.

Almost surely, 212545664 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 12545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131920).

12545664 is an abundant number, since it is smaller than the sum of its proper divisors (21718176).

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

12545664 is an equidigital number, since it uses as much as digits as its factorization.

12545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 12545664 is about 3541.9858836534. The cubic root of 12545664 is about 232.3617029311.

The spelling of 12545664 in words is "twelve million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 883 888 1184 1766 1776 2368 2649 3532 3552 4736 5298 7064 7104 10596 14128 14208 21192 28256 32671 42384 56512 65342 84768 98013 113024 130684 169536 196026 261368 339072 392052 522736 784104 1045472 1568208 2090944 3136416 4181888 6272832 12545664