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18365940 = 223553779
BaseRepresentation
bin100011000001…
…1110111110100
31021120002100000
41012003313310
514200202230
61453351300
7312052005
oct106036764
937502300
1018365940
11a40466a
126198530
133a60728
1426211ac
15192bb60
hex1183df4

18365940 has 72 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 4896288.

The previous prime is 18365929. The next prime is 18365947. The reversal of 18365940 is 4956381.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18365895 and 18365904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18365947) 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 23 ways as a sum of consecutive naturals, for example, 2971 + ... + 6749.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 218365940 is an apocalyptic number.

18365940 is a gapful number since it is divisible by the number (10) 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 18365940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

18365940 is an abundant number, since it is smaller than the sum of its proper divisors (39422700).

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

18365940 is a wasteful number, since it uses less digits than its factorization.

18365940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 18365940 is about 4285.5501397137. The cubic root of 18365940 is about 263.8382273362.

It can be divided in two parts, 1836 and 5940, that added together give a 5-th power (7776 = 65).

The spelling of 18365940 in words is "eighteen million, three hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 3779 4860 7558 11337 15116 18895 22674 34011 37790 45348 56685 68022 75580 102033 113370 136044 170055 204066 226740 306099 340110 408132 510165 612198 680220 918297 1020330 1224396 1530495 1836594 2040660 3060990 3673188 4591485 6121980 9182970 18365940