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11406048 = 2531729241
BaseRepresentation
bin101011100000…
…101011100000
3210110111011020
4223200223200
510404443143
61044245440
7165643533
oct53405340
923414136
1011406048
116490595
1239a0880
132494854
14172ca1a
151004883
hexae0ae0

11406048 has 96 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3440640.

The previous prime is 11406041. The next prime is 11406053. The reversal of 11406048 is 84060411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47208 + ... + 47448.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 211406048 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 11406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

11406048 is an abundant number, since it is smaller than the sum of its proper divisors (21525312).

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

11406048 is a wasteful number, since it uses less digits than its factorization.

11406048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11406048 is about 3377.2841159725. The cubic root of 11406048 is about 225.1015048183.

Adding to 11406048 its reverse (84060411), we get a palindrome (95466459).

The spelling of 11406048 in words is "eleven million, four hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 241 272 348 408 464 482 493 544 696 723 816 928 964 986 1392 1446 1479 1632 1928 1972 2784 2892 2958 3856 3944 4097 5784 5916 6989 7712 7888 8194 11568 11832 12291 13978 15776 16388 20967 23136 23664 24582 27956 32776 41934 47328 49164 55912 65552 83868 98328 111824 118813 131104 167736 196656 223648 237626 335472 356439 393312 475252 670944 712878 950504 1425756 1901008 2851512 3802016 5703024 11406048