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11866064 = 247531999
BaseRepresentation
bin101101010000…
…111111010000
3211022212011212
4231100333100
511014203224
61102155252
7202600640
oct55207720
924285155
1011866064
116775171
123b82b28
1325c6052
14180c520
151095d0e
hexb50fd0

11866064 has 40 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 4987008.

The previous prime is 11866061. The next prime is 11866069. The reversal of 11866064 is 46066811.

It is a happy number.

11866064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11866064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11866061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4937 + ... + 6935.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 211866064 is an apocalyptic number.

11866064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11866064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

11866064 is an abundant number, since it is smaller than the sum of its proper divisors (14917936).

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

11866064 is a wasteful number, since it uses less digits than its factorization.

11866064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 11866064 is about 3444.7153728574. The cubic root of 11866064 is about 228.0878906047.

The spelling of 11866064 in words is "eleven million, eight hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1999 2968 3998 5936 7996 13993 15992 27986 31984 55972 105947 111944 211894 223888 423788 741629 847576 1483258 1695152 2966516 5933032 11866064