Search a number
-
+
12588096 = 26365563
BaseRepresentation
bin110000000001…
…010001000000
3212200112121210
4300001101000
511210304341
61125450120
7211665663
oct60012100
925615553
1012588096
117118694
124270940
1327b98a1
1419596da
151189c16
hexc01440

12588096 has 28 divisors (see below), whose sum is σ = 33306512. Its totient is φ = 4195968.

The previous prime is 12588091. The next prime is 12588101. The reversal of 12588096 is 69088521.

It is an interprime number because it is at equal distance from previous prime (12588091) and next prime (12588101).

It is not an unprimeable number, because it can be changed into a prime (12588091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32590 + ... + 32973.

Almost surely, 212588096 is an apocalyptic number.

12588096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12588096 is an abundant number, since it is smaller than the sum of its proper divisors (20718416).

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

12588096 is an equidigital number, since it uses as much as digits as its factorization.

12588096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65578 (or 65568 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 12588096 is about 3547.9706875903. The cubic root of 12588096 is about 232.6233730699.

The spelling of 12588096 in words is "twelve million, five hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 65563 131126 196689 262252 393378 524504 786756 1049008 1573512 2098016 3147024 4196032 6294048 12588096