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12285520 = 2451311813
BaseRepresentation
bin101110110111…
…011001010000
3212010011120021
4232313121100
511121114040
61115153224
7206265562
oct56673120
925104507
1012285520
116a31325
124145814
132711c50
1418bb332
15112a24a
hexbb7650

12285520 has 40 divisors (see below), whose sum is σ = 30763656. Its totient is φ = 4535808.

The previous prime is 12285503. The next prime is 12285521. The reversal of 12285520 is 2558221.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 12222016 = 252^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285521) by changing a digit.

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, 4867 + ... + 6946.

Almost surely, 212285520 is an apocalyptic number.

12285520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12285520 is an abundant number, since it is smaller than the sum of its proper divisors (18478136).

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

12285520 is a wasteful number, since it uses less digits than its factorization.

12285520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 12285520 is about 3505.0706126981. The cubic root of 12285520 is about 230.7444059906.

The spelling of 12285520 in words is "twelve million, two hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11813 23626 47252 59065 94504 118130 153569 189008 236260 307138 472520 614276 767845 945040 1228552 1535690 2457104 3071380 6142760 12285520