Search a number
-
+
18431980 = 2257312137
BaseRepresentation
bin100011001001…
…1111111101100
31021200102220221
41012103333230
514204310410
61455021124
7312445360
oct106237754
937612827
1018431980
11a44a246
12620a7a4
133a847c8
14263b2a0
1519414da
hex1193fec

18431980 has 72 divisors (see below), whose sum is σ = 46043424. Its totient is φ = 6071040.

The previous prime is 18431971. The next prime is 18431983. The reversal of 18431980 is 8913481.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18431983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134472 + ... + 134608.

It is an arithmetic number, because the mean of its divisors is an integer number (639492).

Almost surely, 218431980 is an apocalyptic number.

18431980 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 18431980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021712).

18431980 is an abundant number, since it is smaller than the sum of its proper divisors (27611444).

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

18431980 is a wasteful number, since it uses less digits than its factorization.

18431980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 18431980 is about 4293.2481875615. The cubic root of 18431980 is about 264.1540843697.

The spelling of 18431980 in words is "eighteen million, four hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 137 140 155 217 274 310 434 548 620 685 868 959 961 1085 1370 1918 1922 2170 2740 3836 3844 4247 4340 4795 4805 6727 8494 9590 9610 13454 16988 19180 19220 21235 26908 29729 33635 42470 59458 67270 84940 118916 131657 134540 148645 263314 297290 526628 594580 658285 921599 1316570 1843198 2633140 3686396 4607995 9215990 18431980