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18021840 = 2435611231
BaseRepresentation
bin100010010111…
…1110111010000
31020220121022120
41010233313100
514103144330
61442134240
7306116544
oct104576720
936817276
1018021840
11a19a091
126051380
13396cc15
142571a24
1518aec10
hex112fdd0

18021840 has 80 divisors (see below), whose sum is σ = 56829696. Its totient is φ = 4723200.

The previous prime is 18021827. The next prime is 18021841. The reversal of 18021840 is 4812081.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 18021840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18021841) by changing a digit.

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, 14025 + ... + 15255.

Almost surely, 218021840 is an apocalyptic number.

18021840 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 18021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28414848).

18021840 is an abundant number, since it is smaller than the sum of its proper divisors (38807856).

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

18021840 is a wasteful number, since it uses less digits than its factorization.

18021840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18021840 is about 4245.2137755359. The cubic root of 18021840 is about 262.1800910106.

The spelling of 18021840 in words is "eighteen million, twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1231 1464 1830 2440 2462 2928 3660 3693 4880 4924 6155 7320 7386 9848 12310 14640 14772 18465 19696 24620 29544 36930 49240 59088 73860 75091 98480 147720 150182 225273 295440 300364 375455 450546 600728 750910 901092 1126365 1201456 1501820 1802184 2252730 3003640 3604368 4505460 6007280 9010920 18021840