Search a number
-
+
18741840 = 2435136007
BaseRepresentation
bin100011101111…
…1101001010000
31022021011222020
41013133221100
514244214330
61505411440
7315205635
oct107375120
938234866
1018741840
11a641027
126339b80
133b62860
1426bc18c
1519a3210
hex11dfa50

18741840 has 80 divisors (see below), whose sum is σ = 62579328. Its totient is φ = 4612608.

The previous prime is 18741839. The next prime is 18741883. The reversal of 18741840 is 4814781.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 6123.

Almost surely, 218741840 is an apocalyptic number.

18741840 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 18741840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31289664).

18741840 is an abundant number, since it is smaller than the sum of its proper divisors (43837488).

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

18741840 is a wasteful number, since it uses less digits than its factorization.

18741840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 18741840 is about 4329.1846807453. The cubic root of 18741840 is about 265.6260976195.

The spelling of 18741840 in words is "eighteen million, seven hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6007 12014 18021 24028 30035 36042 48056 60070 72084 78091 90105 96112 120140 144168 156182 180210 234273 240280 288336 312364 360420 390455 468546 480560 624728 720840 780910 937092 1171365 1249456 1441680 1561820 1874184 2342730 3123640 3748368 4685460 6247280 9370920 18741840