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11408144 = 2411531223
BaseRepresentation
bin101011100001…
…001100010000
3210110121000212
4223201030100
510410030034
61044303252
7165652616
oct53411420
923417025
1011408144
116492120
1239a1b28
1324957a7
14172d6b6
1510052ce
hexae1310

11408144 has 40 divisors (see below), whose sum is σ = 24587712. Its totient is φ = 5083520.

The previous prime is 11408129. The next prime is 11408167. The reversal of 11408144 is 44180411.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8717 + ... + 9939.

Almost surely, 211408144 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 11408144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293856).

11408144 is an abundant number, since it is smaller than the sum of its proper divisors (13179568).

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

11408144 is a wasteful number, since it uses less digits than its factorization.

11408144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 11408144 is about 3377.5944102275. The cubic root of 11408144 is about 225.1152923532.

Adding to 11408144 its reverse (44180411), we get a palindrome (55588555).

The spelling of 11408144 in words is "eleven million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1223 2332 2446 4664 4892 9328 9784 13453 19568 26906 53812 64819 107624 129638 215248 259276 518552 713009 1037104 1426018 2852036 5704072 11408144