Search a number
-
+
12516064 = 251131237
BaseRepresentation
bin101111101111…
…101011100000
3212112212210221
4233233223200
511201003224
61124132424
7211245661
oct57575340
925485727
1012516064
117079560
124237114
132792b72
14193b368
1511736e4
hexbefae0

12516064 has 72 divisors (see below), whose sum is σ = 28526904. Its totient is φ = 5356800.

The previous prime is 12516059. The next prime is 12516073. The reversal of 12516064 is 46061521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338254 + ... + 338290.

It is an arithmetic number, because the mean of its divisors is an integer number (396207).

Almost surely, 212516064 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 12516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263452).

12516064 is an abundant number, since it is smaller than the sum of its proper divisors (16010840).

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

12516064 is a wasteful number, since it uses less digits than its factorization.

12516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12516064 is about 3537.8049691864. The cubic root of 12516064 is about 232.1788157676.

Adding to 12516064 its reverse (46061521), we get a palindrome (58577585).

The spelling of 12516064 in words is "twelve million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 74 88 124 148 176 248 296 341 352 407 496 592 682 814 961 992 1147 1184 1364 1628 1922 2294 2728 3256 3844 4588 5456 6512 7688 9176 10571 10912 12617 13024 15376 18352 21142 25234 30752 35557 36704 42284 50468 71114 84568 100936 142228 169136 201872 284456 338272 391127 403744 568912 782254 1137824 1564508 3129016 6258032 12516064