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12267424 = 251337797
BaseRepresentation
bin101110110010…
…111110100000
3212002020202001
4232302332200
511120024144
61114533344
7206162041
oct56627640
925066661
1012267424
116a19774
124137254
132706940
1418b48c8
151124bd4
hexbb2fa0

12267424 has 48 divisors (see below), whose sum is σ = 26745768. Its totient is φ = 5501952.

The previous prime is 12267401. The next prime is 12267439. The reversal of 12267424 is 42476221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10679824 + 1587600 = 3268^2 + 1260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12267392 and 12267401.

It is a congruent number.

It is an unprimeable number.

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, 14994 + ... + 15790.

Almost surely, 212267424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12267424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372884).

12267424 is an abundant number, since it is smaller than the sum of its proper divisors (14478344).

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

12267424 is a wasteful number, since it uses less digits than its factorization.

12267424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 12267424 is about 3502.4882583672. The cubic root of 12267424 is about 230.6310583916.

The spelling of 12267424 in words is "twelve million, two hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 797 962 1184 1594 1924 3188 3848 6376 7696 10361 12752 15392 20722 25504 29489 41444 58978 82888 117956 165776 235912 331552 383357 471824 766714 943648 1533428 3066856 6133712 12267424