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11416928 = 251731677
BaseRepresentation
bin101011100011…
…010101100000
3210111001002012
4223203111200
510410320203
61044412052
7166020335
oct53432540
923431065
1011416928
116498786
1239a7028
1324997a3
14173298c
151007bd8
hexae3560

11416928 has 48 divisors (see below), whose sum is σ = 24603264. Its totient is φ = 5191680.

The previous prime is 11416927. The next prime is 11416949. The reversal of 11416928 is 82961411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11416894 and 11416903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16526 + ... + 17202.

It is an arithmetic number, because the mean of its divisors is an integer number (512568).

Almost surely, 211416928 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 11416928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301632).

11416928 is an abundant number, since it is smaller than the sum of its proper divisors (13186336).

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

11416928 is a wasteful number, since it uses less digits than its factorization.

11416928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 11416928 is about 3378.8944937657. The cubic root of 11416928 is about 225.1730553403.

The spelling of 11416928 in words is "eleven million, four hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 677 992 1054 1354 2108 2708 4216 5416 8432 10832 11509 16864 20987 21664 23018 41974 46036 83948 92072 167896 184144 335792 356779 368288 671584 713558 1427116 2854232 5708464 11416928