Search a number
-
+
18740864 = 27314723
BaseRepresentation
bin100011101111…
…1011010000000
31022021010122002
41013133122000
514244201424
61505403132
7315203042
oct107373200
938233562
1018740864
11a64031a
1263394a8
133b6228c
1426bba92
1519a2cae
hex11df680

18740864 has 32 divisors (see below), whose sum is σ = 38547840. Its totient is φ = 9066240.

The previous prime is 18740863. The next prime is 18740867. The reversal of 18740864 is 46804781.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (18740861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1607 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (1204620).

Almost surely, 218740864 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 18740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273920).

18740864 is an abundant number, since it is smaller than the sum of its proper divisors (19806976).

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

18740864 is an equidigital number, since it uses as much as digits as its factorization.

18740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 18740864 is about 4329.0719559739. The cubic root of 18740864 is about 265.6214866248.

The spelling of 18740864 in words is "eighteen million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 4723 9446 18892 37784 75568 146413 151136 292826 302272 585652 604544 1171304 2342608 4685216 9370432 18740864