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12423136 = 2511291217
BaseRepresentation
bin101111011000…
…111111100000
3212101011100011
4233120333200
511140020021
61122134304
7210411025
oct57307740
925334304
1012423136
117015760
1241b1394
13275c78b
14191554c
151155de1
hexbd8fe0

12423136 has 48 divisors (see below), whose sum is σ = 27624240. Its totient is φ = 5447680.

The previous prime is 12423133. The next prime is 12423143. The reversal of 12423136 is 63132421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9600 + ... + 10816.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 212423136 is an apocalyptic number.

12423136 is a gapful number since it is divisible by the number (16) 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 12423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812120).

12423136 is an abundant number, since it is smaller than the sum of its proper divisors (15201104).

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

12423136 is a wasteful number, since it uses less digits than its factorization.

12423136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 12423136 is about 3524.6469326728. The cubic root of 12423136 is about 231.6027685225.

Adding to 12423136 its reverse (63132421), we get a palindrome (75555557).

The spelling of 12423136 in words is "twelve million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1217 1276 2434 2552 4868 5104 9736 10208 13387 19472 26774 35293 38944 53548 70586 107096 141172 214192 282344 388223 428384 564688 776446 1129376 1552892 3105784 6211568 12423136