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204731040 = 253541101103
BaseRepresentation
bin11000011001111…
…11001010100000
3112021020102012010
430030333022200
5404402343130
632152032520
75034120333
oct1414771240
9467212163
10204731040
11a5624508
1258692740
1333552837
141d29461a
1512e910b0
hexc33f2a0

204731040 has 192 divisors, whose sum is σ = 673650432. Its totient is φ = 52224000.

The previous prime is 204730993. The next prime is 204731053. The reversal of 204731040 is 40137402.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204730998 and 204731016.

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 31 ways as a sum of consecutive naturals, for example, 1987629 + ... + 1987731.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2204731040 is an apocalyptic number.

204731040 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 204731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336825216).

204731040 is an abundant number, since it is smaller than the sum of its proper divisors (468919392).

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

204731040 is a wasteful number, since it uses less digits than its factorization.

204731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 204731040 is about 14308.4254898993. The cubic root of 204731040 is about 589.3788732897.

Adding to 204731040 its reverse (40137402), we get a palindrome (244868442).

The spelling of 204731040 in words is "two hundred four million, seven hundred thirty-one thousand, forty".