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12411468 = 22351132
BaseRepresentation
bin101111010110…
…001001001100
3212100120100000
4233112021030
511134131333
61122004300
7210332016
oct57261114
925316300
1012411468
117007a13
1241a6690
132757384
1419111b6
151152713
hexbd624c

12411468 has 54 divisors (see below), whose sum is σ = 32825884. Its totient is φ = 4100544.

The previous prime is 12411461. The next prime is 12411481. The reversal of 12411468 is 86411421.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12411468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12411461) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109780 + ... + 109892.

Almost surely, 212411468 is an apocalyptic number.

12411468 is a gapful number since it is divisible by the number (18) 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 12411468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412942).

12411468 is an abundant number, since it is smaller than the sum of its proper divisors (20414416).

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

12411468 is an equidigital number, since it uses as much as digits as its factorization.

12411468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 118 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12411468 is about 3522.9913425951. The cubic root of 12411468 is about 231.5302375187.

Multiplying 12411468 by its sum of digits (27), we get a square (335109636 = 183062).

12411468 divided by its sum of digits (27) gives a square (459684 = 6782).

Adding to 12411468 its reverse (86411421), we get a palindrome (98822889).

The spelling of 12411468 in words is "twelve million, four hundred eleven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3051 4068 6102 9153 12204 12769 18306 25538 27459 36612 38307 51076 54918 76614 109836 114921 153228 229842 344763 459684 689526 1034289 1379052 2068578 3102867 4137156 6205734 12411468