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18630500 = 225375323
BaseRepresentation
bin100011100010…
…0011101100100
31022001112020112
41013010131210
514232134000
61503152152
7314233220
oct107043544
938045215
1018630500
11a575409
1262a5658
133b23c85
14268d780
151980235
hex11c4764

18630500 has 48 divisors (see below), whose sum is σ = 46510464. Its totient is φ = 6386400.

The previous prime is 18630463. The next prime is 18630509. The reversal of 18630500 is 503681.

It is not an unprimeable number, because it can be changed into a prime (18630509) 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 15 ways as a sum of consecutive naturals, for example, 839 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (968968).

Almost surely, 218630500 is an apocalyptic number.

18630500 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 18630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255232).

18630500 is an abundant number, since it is smaller than the sum of its proper divisors (27879964).

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

18630500 is a wasteful number, since it uses less digits than its factorization.

18630500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 18630500 is about 4316.3062912634. The cubic root of 18630500 is about 265.0990492440.

The spelling of 18630500 in words is "eighteen million, six hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 5323 10646 21292 26615 37261 53230 74522 106460 133075 149044 186305 266150 372610 532300 665375 745220 931525 1330750 1863050 2661500 3726100 4657625 9315250 18630500