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18921340 = 225171929101
BaseRepresentation
bin100100000101…
…1011101111100
31022121022012101
41020023131330
514320440330
61513314444
7316554154
oct110133574
938538171
1018921340
11a753979
126405a24
133bc6479
142727764
1519db4ca
hex120b77c

18921340 has 96 divisors (see below), whose sum is σ = 46267200. Its totient is φ = 6451200.

The previous prime is 18921337. The next prime is 18921347. The reversal of 18921340 is 4312981.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18921299 and 18921308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18921347) 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 31 ways as a sum of consecutive naturals, for example, 187290 + ... + 187390.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 218921340 is an apocalyptic number.

18921340 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 18921340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

18921340 is an abundant number, since it is smaller than the sum of its proper divisors (27345860).

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

18921340 is a wasteful number, since it uses less digits than its factorization.

18921340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 18921340 is about 4349.8666646232. The cubic root of 18921340 is about 266.4714161022.

The spelling of 18921340 in words is "eighteen million, nine hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 29 34 38 58 68 76 85 95 101 116 145 170 190 202 290 323 340 380 404 493 505 551 580 646 986 1010 1102 1292 1615 1717 1919 1972 2020 2204 2465 2755 2929 3230 3434 3838 4930 5510 5858 6460 6868 7676 8585 9367 9595 9860 11020 11716 14645 17170 18734 19190 29290 32623 34340 37468 38380 46835 49793 55651 58580 65246 93670 99586 111302 130492 163115 187340 199172 222604 248965 278255 326230 497930 556510 652460 946067 995860 1113020 1892134 3784268 4730335 9460670 18921340