[go: up one dir, main page]

Search a number
-
+
12515328 = 21132797
BaseRepresentation
bin101111101111…
…100000000000
3212112211210200
4233233200000
511200442303
61124125200
7211243560
oct57574000
925484720
1012515328
117078a51
124236800
132792727
14193ada0
1511733a3
hexbef800

12515328 has 144 divisors (see below), whose sum is σ = 41736240. Its totient is φ = 3538944.

The previous prime is 12515323. The next prime is 12515329. The reversal of 12515328 is 82351521.

It is a happy number.

12515328 is a `hidden beast` number, since 125 + 1 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12515323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128976 + ... + 129072.

It is an arithmetic number, because the mean of its divisors is an integer number (289835).

Almost surely, 212515328 is an apocalyptic number.

12515328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868120).

12515328 is an abundant number, since it is smaller than the sum of its proper divisors (29220912).

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

12515328 is an equidigital number, since it uses as much as digits as its factorization.

12515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12515328 is about 3537.7009483561. The cubic root of 12515328 is about 232.1742646308.

Adding to 12515328 its reverse (82351521), we get a palindrome (94866849).

The spelling of 12515328 in words is "twelve million, five hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 97 112 126 128 144 168 192 194 224 252 256 288 291 336 384 388 448 504 512 576 582 672 679 768 776 873 896 1008 1024 1152 1164 1344 1358 1536 1552 1746 1792 2016 2037 2048 2304 2328 2688 2716 3072 3104 3492 3584 4032 4074 4608 4656 5376 5432 6111 6144 6208 6984 7168 8064 8148 9216 9312 10752 10864 12222 12416 13968 14336 16128 16296 18432 18624 21504 21728 24444 24832 27936 32256 32592 37248 43008 43456 48888 49664 55872 64512 65184 74496 86912 97776 99328 111744 129024 130368 148992 173824 195552 198656 223488 260736 297984 347648 391104 446976 521472 595968 695296 782208 893952 1042944 1390592 1564416 1787904 2085888 3128832 4171776 6257664 12515328