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18994600 = 2352731301
BaseRepresentation
bin100100001110…
…1010110101000
31022202000200201
41020131112220
514330311400
61515041544
7320310562
oct110352650
938660621
1018994600
11a7a3a19
1264402b4
133c20911
142746332
151a0306a
hex121d5a8

18994600 has 48 divisors (see below), whose sum is σ = 44801820. Its totient is φ = 7488000.

The previous prime is 18994597. The next prime is 18994609. The reversal of 18994600 is 649981.

It can be written as a sum of positive squares in 6 ways, for example, as 1705636 + 17288964 = 1306^2 + 4158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18994600.

It is not an unprimeable number, because it can be changed into a prime (18994609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13950 + ... + 15250.

Almost surely, 218994600 is an apocalyptic number.

18994600 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 18994600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400910).

18994600 is an abundant number, since it is smaller than the sum of its proper divisors (25807220).

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

18994600 is a wasteful number, since it uses less digits than its factorization.

18994600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 18994600 is about 4358.2794770414. The cubic root of 18994600 is about 266.8148828823.

The spelling of 18994600 in words is "eighteen million, nine hundred ninety-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1301 1460 1825 2602 2920 3650 5204 6505 7300 10408 13010 14600 26020 32525 52040 65050 94973 130100 189946 260200 379892 474865 759784 949730 1899460 2374325 3798920 4748650 9497300 18994600