Search a number
-
+
18406240 = 2551767101
BaseRepresentation
bin100011000110…
…1101101100000
31021122010121121
41012031231200
514202444430
61454302024
7312310336
oct106155540
937563547
1018406240
11a431976
1261b7914
133a75b88
142631b56
151938a7a
hex118db60

18406240 has 96 divisors (see below), whose sum is σ = 47192544. Its totient is φ = 6758400.

The previous prime is 18406229. The next prime is 18406319. The reversal of 18406240 is 4260481.

It is a congruent number.

It is an unprimeable number.

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, 182190 + ... + 182290.

It is an arithmetic number, because the mean of its divisors is an integer number (491589).

Almost surely, 218406240 is an apocalyptic number.

18406240 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 18406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23596272).

18406240 is an abundant number, since it is smaller than the sum of its proper divisors (28786304).

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

18406240 is a wasteful number, since it uses less digits than its factorization.

18406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 18406240 is about 4290.2494099994. The cubic root of 18406240 is about 264.0310646029.

The spelling of 18406240 in words is "eighteen million, four hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 101 134 136 160 170 202 268 272 335 340 404 505 536 544 670 680 808 1010 1072 1139 1340 1360 1616 1717 2020 2144 2278 2680 2720 3232 3434 4040 4556 5360 5695 6767 6868 8080 8585 9112 10720 11390 13534 13736 16160 17170 18224 22780 27068 27472 33835 34340 36448 45560 54136 54944 67670 68680 91120 108272 115039 135340 137360 182240 216544 230078 270680 274720 460156 541360 575195 920312 1082720 1150390 1840624 2300780 3681248 4601560 9203120 18406240