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204300940 = 225291632161
BaseRepresentation
bin11000010110101…
…10001010001100
3112020102120012111
430023112022030
5404300112230
632134513404
75030346364
oct1413261214
9466376174
10204300940
11a5360358
1258505864
1333431b3c
141d1c19a4
1512e0892a
hexc2d628c

204300940 has 48 divisors (see below), whose sum is σ = 446755680. Its totient is φ = 78382080.

The previous prime is 204300923. The next prime is 204300947. The reversal of 204300940 is 49003402.

It is not an unprimeable number, because it can be changed into a prime (204300947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93460 + ... + 95620.

It is an arithmetic number, because the mean of its divisors is an integer number (9307410).

Almost surely, 2204300940 is an apocalyptic number.

204300940 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 204300940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223377840).

204300940 is an abundant number, since it is smaller than the sum of its proper divisors (242454740).

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

204300940 is a wasteful number, since it uses less digits than its factorization.

204300940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 204300940 is about 14293.3879818607. The cubic root of 204300940 is about 588.9658605663.

The spelling of 204300940 in words is "two hundred four million, three hundred thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 163 290 326 580 652 815 1630 2161 3260 4322 4727 8644 9454 10805 18908 21610 23635 43220 47270 62669 94540 125338 250676 313345 352243 626690 704486 1253380 1408972 1761215 3522430 7044860 10215047 20430094 40860188 51075235 102150470 204300940