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12068576 = 251367433
BaseRepresentation
bin101110000010…
…011011100000
3211201010222022
4232002123200
511042143301
61110401012
7204403232
oct56023340
924633868
1012068576
1168a3333
124060168
132667290
141862252
1510d5d1b
hexb826e0

12068576 has 48 divisors (see below), whose sum is σ = 26029584. Its totient is φ = 5474304.

The previous prime is 12068561. The next prime is 12068597. The reversal of 12068576 is 67586021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27656 + ... + 28088.

It is an arithmetic number, because the mean of its divisors is an integer number (542283).

Almost surely, 212068576 is an apocalyptic number.

12068576 is a gapful number since it is divisible by the number (16) 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 12068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014792).

12068576 is an abundant number, since it is smaller than the sum of its proper divisors (13961008).

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

12068576 is a wasteful number, since it uses less digits than its factorization.

12068576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 12068576 is about 3473.9856073392. The cubic root of 12068576 is about 229.3781310840.

It can be divided in two parts, 1206 and 8576, that multiplied together give a square (10342656 = 32162).

The spelling of 12068576 in words is "twelve million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 433 536 866 871 1072 1732 1742 2144 3464 3484 5629 6928 6968 11258 13856 13936 22516 27872 29011 45032 58022 90064 116044 180128 232088 377143 464176 754286 928352 1508572 3017144 6034288 12068576