Search a number
-
+
12263420 = 22513101467
BaseRepresentation
bin101110110001…
…111111111100
3212002001020202
4232301333330
511114412140
61114503032
7206144261
oct56617774
925061222
1012263420
116a16764
124134a78
132704b80
1418b3268
151123915
hexbb1ffc

12263420 has 48 divisors (see below), whose sum is σ = 28068768. Its totient is φ = 4473600.

The previous prime is 12263401. The next prime is 12263423. The reversal of 12263420 is 2436221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12263392 and 12263401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26027 + ... + 26493.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 212263420 is an apocalyptic number.

12263420 is a gapful number since it is divisible by the number (10) 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 12263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384).

12263420 is an abundant number, since it is smaller than the sum of its proper divisors (15805348).

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

12263420 is a wasteful number, since it uses less digits than its factorization.

12263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12263420 is about 3501.9166180822. The cubic root of 12263420 is about 230.6059635484.

Adding to 12263420 its reverse (2436221), we get a palindrome (14699641).

The spelling of 12263420 in words is "twelve million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 467 505 934 1010 1313 1868 2020 2335 2626 4670 5252 6071 6565 9340 12142 13130 24284 26260 30355 47167 60710 94334 121420 188668 235835 471670 613171 943340 1226342 2452684 3065855 6131710 12263420