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11374064 = 2413149367
BaseRepresentation
bin101011011000…
…110111110000
3210101212021122
4223120313300
510402432224
61043441412
7165451352
oct53306760
923355248
1011374064
116469559
123986268
132483120
1417210d2
15eea15e
hexad8df0

11374064 has 40 divisors (see below), whose sum is σ = 23956800. Its totient is φ = 5200128.

The previous prime is 11374031. The next prime is 11374067. The reversal of 11374064 is 46047311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30809 + ... + 31175.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 211374064 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 11374064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978400).

11374064 is an abundant number, since it is smaller than the sum of its proper divisors (12582736).

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

11374064 is a wasteful number, since it uses less digits than its factorization.

11374064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 11374064 is about 3372.5456260813. The cubic root of 11374064 is about 224.8909034892.

The spelling of 11374064 in words is "eleven million, three hundred seventy-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 367 596 734 1192 1468 1937 2384 2936 3874 4771 5872 7748 9542 15496 19084 30992 38168 54683 76336 109366 218732 437464 710879 874928 1421758 2843516 5687032 11374064