Search a number
-
+
18663764 = 2272373397
BaseRepresentation
bin100011100110…
…0100101010100
31022010012212112
41013030211110
514234220024
61504010152
7314432210
oct107144524
938105775
1018663764
11a5983a9
126300958
133b36162
14269b940
15198a00e
hex11cc954

18663764 has 48 divisors (see below), whose sum is σ = 39583488. Its totient is φ = 7527168.

The previous prime is 18663761. The next prime is 18663779. The reversal of 18663764 is 46736681.

It is a cake number, because a cake can be divided into 18663764 parts by 482 planar cuts.

Its product of digits (145152) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18663761) 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 15 ways as a sum of consecutive naturals, for example, 46814 + ... + 47210.

It is an arithmetic number, because the mean of its divisors is an integer number (824656).

Almost surely, 218663764 is an apocalyptic number.

18663764 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 18663764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791744).

18663764 is an abundant number, since it is smaller than the sum of its proper divisors (20919724).

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

18663764 is a wasteful number, since it uses less digits than its factorization.

18663764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 18663764 is about 4320.1578674859. The cubic root of 18663764 is about 265.2567299604.

The spelling of 18663764 in words is "eighteen million, six hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 73 92 146 161 292 322 397 511 644 794 1022 1588 1679 2044 2779 3358 5558 6716 9131 11116 11753 18262 23506 28981 36524 47012 57962 63917 115924 127834 202867 255668 405734 666563 811468 1333126 2666252 4665941 9331882 18663764