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11478816 = 253239857
BaseRepresentation
bin101011110010…
…011100100000
3210121011222100
4223302130200
510414310231
61050010400
7166365636
oct53623440
923534870
1011478816
116530228
123a16a00
1324bb9cb
14174b356
15101b1e6
hexaf2720

11478816 has 36 divisors (see below), whose sum is σ = 32643702. Its totient is φ = 3826176.

The previous prime is 11478799. The next prime is 11478827. The reversal of 11478816 is 61887411.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 4822416 = 2580^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19641 + ... + 20216.

Almost surely, 211478816 is an apocalyptic number.

11478816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11478816 is an abundant number, since it is smaller than the sum of its proper divisors (21164886).

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

11478816 is a wasteful number, since it uses less digits than its factorization.

11478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39873 (or 39862 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 11478816 is about 3388.0401414387. The cubic root of 11478816 is about 225.5791892679.

The spelling of 11478816 in words is "eleven million, four hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39857 79714 119571 159428 239142 318856 358713 478284 637712 717426 956568 1275424 1434852 1913136 2869704 3826272 5739408 11478816