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204003100 = 225272312671
BaseRepresentation
bin11000010100011…
…01011100011100
3112012212102122101
430022031130130
5404211044400
632124254444
75024666140
oct1412153434
9465772571
10204003100
11a5177604
12583a1424
13333593c2
141d145220
1512d9a56a
hexc28d71c

204003100 has 72 divisors (see below), whose sum is σ = 527966208. Its totient is φ = 66897600.

The previous prime is 204003091. The next prime is 204003101. The reversal of 204003100 is 1300402.

It is a super-2 number, since 2×2040031002 = 83234529619220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9765 + ... + 22435.

It is an arithmetic number, because the mean of its divisors is an integer number (7332864).

Almost surely, 2204003100 is an apocalyptic number.

204003100 is a gapful number since it is divisible by the number (20) 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 204003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

204003100 is an abundant number, since it is smaller than the sum of its proper divisors (323963108).

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

204003100 is a wasteful number, since it uses less digits than its factorization.

204003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 204003100 is about 14282.9653783799. The cubic root of 204003100 is about 588.6795135315.

Adding to 204003100 its reverse (1300402), we get a palindrome (205303502).

The spelling of 204003100 in words is "two hundred four million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 12671 16100 25342 50684 63355 88697 126710 177394 253420 291433 316775 354788 443485 582866 633550 886970 1165732 1267100 1457165 1773940 2040031 2217425 2914330 4080062 4434850 5828660 7285825 8160124 8869700 10200155 14571650 20400310 29143300 40800620 51000775 102001550 204003100