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12257424 = 243285121
BaseRepresentation
bin101110110000…
…100010010000
3212001202000200
4232300202100
511114214144
61114415200
7206120634
oct56604220
925052020
1012257424
116a12203
124131500
13270221a
1418b0dc4
151121c69
hexbb0890

12257424 has 30 divisors (see below), whose sum is σ = 34304166. Its totient is φ = 4085760.

The previous prime is 12257423. The next prime is 12257429. The reversal of 12257424 is 42475221.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 230400 = 3468^2 + 480^2 .

It is not an unprimeable number, because it can be changed into a prime (12257423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42417 + ... + 42704.

Almost surely, 212257424 is an apocalyptic number.

It is an amenable number.

12257424 is an abundant number, since it is smaller than the sum of its proper divisors (22046742).

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

12257424 is a wasteful number, since it uses less digits than its factorization.

12257424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85135 (or 85126 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 12257424 is about 3501.0604107899. The cubic root of 12257424 is about 230.5683737415.

It can be divided in two parts, 1225 and 7424, that added together give a square (8649 = 932).

The spelling of 12257424 in words is "twelve million, two hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85121 170242 255363 340484 510726 680968 766089 1021452 1361936 1532178 2042904 3064356 4085808 6128712 12257424