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18686140 = 22511157541
BaseRepresentation
bin100011101001…
…0000010111100
31022011100120021
41013102002330
514240424030
61504301524
7314554354
oct107220274
938140507
1018686140
11a6031a0
1263118a4
133b433b5
1426a5b64
15199197a
hex11d20bc

18686140 has 48 divisors (see below), whose sum is σ = 43160544. Its totient is φ = 6739200.

The previous prime is 18686137. The next prime is 18686141. The reversal of 18686140 is 4168681.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18686096 and 18686105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18686141) 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, 34270 + ... + 34810.

It is an arithmetic number, because the mean of its divisors is an integer number (899178).

Almost surely, 218686140 is an apocalyptic number.

18686140 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 18686140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580272).

18686140 is an abundant number, since it is smaller than the sum of its proper divisors (24474404).

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

18686140 is a wasteful number, since it uses less digits than its factorization.

18686140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 18686140 is about 4322.7468119241. The cubic root of 18686140 is about 265.3626931196.

It can be divided in two parts, 1868 and 6140, that added together give a palindrome (8008).

The spelling of 18686140 in words is "eighteen million, six hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 541 628 785 1082 1570 1727 2164 2705 3140 3454 5410 5951 6908 8635 10820 11902 17270 23804 29755 34540 59510 84937 119020 169874 339748 424685 849370 934307 1698740 1868614 3737228 4671535 9343070 18686140