Search a number
-
+
18894700 = 22521189193
BaseRepresentation
bin100100000010…
…0111101101100
31022112221122201
41020010331230
514314112300
61512551244
7316413406
oct110047554
938487581
1018894700
11a735960
1263b2524
133bb72c6
14271bb76
1519d366a
hex1204f6c

18894700 has 72 divisors (see below), whose sum is σ = 45465840. Its totient is φ = 6758400.

The previous prime is 18894697. The next prime is 18894713. The reversal of 18894700 is 749881.

18894700 = T672 + T673 + ... + T746.

It is a self number, because there is not a number n which added to its sum of digits gives 18894700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97804 + ... + 97996.

It is an arithmetic number, because the mean of its divisors is an integer number (631470).

Almost surely, 218894700 is an apocalyptic number.

18894700 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 18894700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732920).

18894700 is an abundant number, since it is smaller than the sum of its proper divisors (26571140).

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

18894700 is a wasteful number, since it uses less digits than its factorization.

18894700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 18894700 is about 4346.8034232065. The cubic root of 18894700 is about 266.3462992997.

The spelling of 18894700 in words is "eighteen million, eight hundred ninety-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 193 220 275 356 386 445 550 772 890 965 979 1100 1780 1930 1958 2123 2225 3860 3916 4246 4450 4825 4895 8492 8900 9650 9790 10615 17177 19300 19580 21230 24475 34354 42460 48950 53075 68708 85885 97900 106150 171770 188947 212300 343540 377894 429425 755788 858850 944735 1717700 1889470 3778940 4723675 9447350 18894700