Search a number
-
+
18209040 = 2435174463
BaseRepresentation
bin100010101110…
…1100100010000
31021021010002220
41011131210100
514130142130
61450141040
7310526403
oct105354420
937233086
1018209040
11a3077a3
126121780
133a071a5
1425bdd3a
1518ea410
hex115d910

18209040 has 80 divisors (see below), whose sum is σ = 59781888. Its totient is φ = 4569088.

The previous prime is 18209033. The next prime is 18209063. The reversal of 18209040 is 4090281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18209040.

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, 1849 + ... + 6311.

Almost surely, 218209040 is an apocalyptic number.

18209040 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 18209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890944).

18209040 is an abundant number, since it is smaller than the sum of its proper divisors (41572848).

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

18209040 is a wasteful number, since it uses less digits than its factorization.

18209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 18209040 is about 4267.2051743501. The cubic root of 18209040 is about 263.0847553655.

The spelling of 18209040 in words is "eighteen million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 4463 8926 13389 17852 22315 26778 35704 44630 53556 66945 71408 75871 89260 107112 133890 151742 178520 214224 227613 267780 303484 357040 379355 455226 535560 606968 758710 910452 1071120 1138065 1213936 1517420 1820904 2276130 3034840 3641808 4552260 6069680 9104520 18209040