Search a number
-
+
18859940 = 22511591453
BaseRepresentation
bin100011111110…
…0011110100100
31022111011222022
41013330132210
514312004230
61512122312
7316210151
oct107743644
938434868
1018859940
11a711830
126396398
133ba4538
14270d228
1519c81e5
hex11fc7a4

18859940 has 48 divisors (see below), whose sum is σ = 43968960. Its totient is φ = 6737280.

The previous prime is 18859909. The next prime is 18859949. The reversal of 18859940 is 4995881.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 18859891 and 18859900.

It is not an unprimeable number, because it can be changed into a prime (18859949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12254 + ... + 13706.

It is an arithmetic number, because the mean of its divisors is an integer number (916020).

Almost surely, 218859940 is an apocalyptic number.

18859940 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 18859940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984480).

18859940 is an abundant number, since it is smaller than the sum of its proper divisors (25109020).

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

18859940 is a wasteful number, since it uses less digits than its factorization.

18859940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 18859940 is about 4342.8032421467. The cubic root of 18859940 is about 266.1828693341.

It can be divided in two parts, 18 and 859940, that added together give a palindrome (859958).

The spelling of 18859940 in words is "eighteen million, eight hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 1453 2596 2906 3245 5812 6490 7265 12980 14530 15983 29060 31966 63932 79915 85727 159830 171454 319660 342908 428635 857270 942997 1714540 1885994 3771988 4714985 9429970 18859940