Search a number
-
+
18764300 = 2252316053
BaseRepresentation
bin100011110010…
…1001000001100
31022022022210002
41013211020030
514300424200
61510103432
7315331262
oct107451014
938268702
1018764300
11a656995
12634ab78
133b6cb49
1426c6432
1519a9bd5
hex11e520c

18764300 has 36 divisors (see below), whose sum is σ = 42038976. Its totient is φ = 7262400.

The previous prime is 18764293. The next prime is 18764303. The reversal of 18764300 is 346781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18764303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74 + ... + 6126.

Almost surely, 218764300 is an apocalyptic number.

18764300 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 18764300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019488).

18764300 is an abundant number, since it is smaller than the sum of its proper divisors (23274676).

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

18764300 is a wasteful number, since it uses less digits than its factorization.

18764300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 18764300 is about 4331.7779259791. Note that the first 3 decimals coincide. The cubic root of 18764300 is about 265.7321629890.

The spelling of 18764300 in words is "eighteen million, seven hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 6053 12106 24212 30265 60530 121060 151325 187643 302650 375286 605300 750572 938215 1876430 3752860 4691075 9382150 18764300