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12270624 = 253127819
BaseRepresentation
bin101110110011…
…110000100000
3212002102010120
4232303300200
511120124444
61115000240
7206204262
oct56636040
925072116
1012270624
116a21113
124139080
132708232
1418b5b32
151125b19
hexbb3c20

12270624 has 24 divisors (see below), whose sum is σ = 32210640. Its totient is φ = 4090176.

The previous prime is 12270623. The next prime is 12270631. The reversal of 12270624 is 42607221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12270594 and 12270603.

It is not an unprimeable number, because it can be changed into a prime (12270623) 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 3 ways as a sum of consecutive naturals, for example, 63814 + ... + 64005.

It is an arithmetic number, because the mean of its divisors is an integer number (1342110).

Almost surely, 212270624 is an apocalyptic number.

It is an amenable number.

12270624 is an abundant number, since it is smaller than the sum of its proper divisors (19940016).

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

12270624 is a wasteful number, since it uses less digits than its factorization.

12270624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127832 (or 127824 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12270624 is about 3502.9450466714. The cubic root of 12270624 is about 230.6511102847.

Adding to 12270624 its reverse (42607221), we get a palindrome (54877845).

The spelling of 12270624 in words is "twelve million, two hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127819 255638 383457 511276 766914 1022552 1533828 2045104 3067656 4090208 6135312 12270624