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204379240 = 235132913553
BaseRepresentation
bin11000010111010…
…01010001101000
3112020120112121111
430023221101220
5404310113430
632140320104
75031123562
oct1413512150
9466515544
10204379240
11a540416a
1258543034
133345b680
141d202332
1512e21c2a
hexc2e9468

204379240 has 64 divisors (see below), whose sum is σ = 512341200. Its totient is φ = 72855552.

The previous prime is 204379213. The next prime is 204379243. The reversal of 204379240 is 42973402.

It can be written as a sum of positive squares in 8 ways, for example, as 81036004 + 123343236 = 9002^2 + 11106^2 .

It is not an unprimeable number, because it can be changed into a prime (204379243) 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, 8304 + ... + 21856.

Almost surely, 2204379240 is an apocalyptic number.

204379240 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 204379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256170600).

204379240 is an abundant number, since it is smaller than the sum of its proper divisors (307961960).

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

204379240 is a wasteful number, since it uses less digits than its factorization.

204379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 13602 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 204379240 is about 14296.1267481790. The cubic root of 204379240 is about 589.0410929444.

The spelling of 204379240 in words is "two hundred four million, three hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 13553 15080 27106 54212 67765 108424 135530 176189 271060 352378 393037 542120 704756 786074 880945 1409512 1572148 1761890 1965185 3144296 3523780 3930370 5109481 7047560 7860740 10218962 15721480 20437924 25547405 40875848 51094810 102189620 204379240