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11464144 = 241943877
BaseRepresentation
bin101011101110…
…110111010000
3210120102211221
4223232313100
510413323034
61045414424
7166305106
oct53566720
923512757
1011464144
1165201aa
123a0a414
1324b5123
141745c76
151016bb4
hexaeedd0

11464144 has 40 divisors (see below), whose sum is σ = 23951840. Its totient is φ = 5298048.

The previous prime is 11464127. The next prime is 11464147. The reversal of 11464144 is 44146411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464147) 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, 12634 + ... + 13510.

It is an arithmetic number, because the mean of its divisors is an integer number (598796).

Almost surely, 211464144 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 11464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975920).

11464144 is an abundant number, since it is smaller than the sum of its proper divisors (12487696).

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

11464144 is a wasteful number, since it uses less digits than its factorization.

11464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 11464144 is about 3385.8741854948. The cubic root of 11464144 is about 225.4830379750.

The spelling of 11464144 in words is "eleven million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 688 817 877 1634 1754 3268 3508 6536 7016 13072 14032 16663 33326 37711 66652 75422 133304 150844 266608 301688 603376 716509 1433018 2866036 5732072 11464144