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18993700 = 22521131557
BaseRepresentation
bin100100001110…
…1001000100100
31022201222110101
41020131020210
514330244300
61515033444
7320305135
oct110351044
938658411
1018993700
11a7a3280
12643b884
133c2039b
142745c8c
151a02b6a
hex121d224

18993700 has 72 divisors (see below), whose sum is σ = 46497024. Its totient is φ = 6672000.

The previous prime is 18993697. The next prime is 18993721. The reversal of 18993700 is 739981.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18993700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33822 + ... + 34378.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 218993700 is an apocalyptic number.

18993700 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 18993700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

18993700 is an abundant number, since it is smaller than the sum of its proper divisors (27503324).

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

18993700 is a wasteful number, since it uses less digits than its factorization.

18993700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 18993700 is about 4358.1762240644. The cubic root of 18993700 is about 266.8106687515.

The spelling of 18993700 in words is "eighteen million, nine hundred ninety-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 557 620 682 775 1100 1114 1364 1550 1705 2228 2785 3100 3410 5570 6127 6820 8525 11140 12254 13925 17050 17267 24508 27850 30635 34100 34534 55700 61270 69068 86335 122540 153175 172670 189937 306350 345340 379874 431675 612700 759748 863350 949685 1726700 1899370 3798740 4748425 9496850 18993700