Search a number
-
+
18396040 = 23513172081
BaseRepresentation
bin100011000101…
…1001110001000
31021121121121211
41012023032020
514202133130
61454142504
7312235525
oct106131610
937547554
1018396040
11a425243
1261b1a34
133a71340
14262c14c
151935a2a
hex118b388

18396040 has 64 divisors (see below), whose sum is σ = 47219760. Its totient is φ = 6389760.

The previous prime is 18396013. The next prime is 18396071. The reversal of 18396040 is 4069381.

It can be written as a sum of positive squares in 8 ways, for example, as 5963364 + 12432676 = 2442^2 + 3526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18395993 and 18396011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7800 + ... + 9880.

Almost surely, 218396040 is an apocalyptic number.

18396040 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 18396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609880).

18396040 is an abundant number, since it is smaller than the sum of its proper divisors (28823720).

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

18396040 is a wasteful number, since it uses less digits than its factorization.

18396040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 18396040 is about 4289.0605031871. The cubic root of 18396040 is about 263.9822837821.

The spelling of 18396040 in words is "eighteen million, three hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2081 2210 4162 4420 8324 8840 10405 16648 20810 27053 35377 41620 54106 70754 83240 108212 135265 141508 176885 216424 270530 283016 353770 459901 541060 707540 919802 1082120 1415080 1839604 2299505 3679208 4599010 9198020 18396040