Search a number
-
+
204634920 = 23357243613
BaseRepresentation
bin11000011001001…
…11101100101000
3112021001112100010
430030213230220
5404341304140
632150011520
75033240160
oct1414475450
9467045303
10204634920
11a5569276
1258646ba0
133351ab69
141d26b5a0
1512e72880
hexc327b28

204634920 has 64 divisors (see below), whose sum is σ = 701608320. Its totient is φ = 46773504.

The previous prime is 204634919. The next prime is 204634939. The reversal of 204634920 is 29436402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 120967 + ... + 122646.

It is an arithmetic number, because the mean of its divisors is an integer number (10962630).

Almost surely, 2204634920 is an apocalyptic number.

204634920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204634920 is an abundant number, since it is smaller than the sum of its proper divisors (496973400).

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

204634920 is a wasteful number, since it uses less digits than its factorization.

204634920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243634 (or 243630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 204634920 is about 14305.0662354286. The cubic root of 204634920 is about 589.2866222313.

The spelling of 204634920 in words is "two hundred four million, six hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 243613 487226 730839 974452 1218065 1461678 1705291 1948904 2436130 2923356 3410582 3654195 4872260 5115873 5846712 6821164 7308390 8526455 9744520 10231746 13642328 14616780 17052910 20463492 25579365 29233560 34105820 40926984 51158730 68211640 102317460 204634920