Search a number
-
+
204206240 = 2557414447
BaseRepresentation
bin11000010101111…
…11000010100000
3112020020202022002
430022333002200
5404234044430
632132503132
75026503320
oct1412770240
9466222262
10204206240
11a52a6197
125847aaa8
13333ca9c4
141d199280
1512dda845
hexc2bf0a0

204206240 has 96 divisors (see below), whose sum is σ = 564931584. Its totient is φ = 68290560.

The previous prime is 204206203. The next prime is 204206251. The reversal of 204206240 is 42602402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43697 + ... + 48143.

It is an arithmetic number, because the mean of its divisors is an integer number (5884704).

Almost surely, 2204206240 is an apocalyptic number.

204206240 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 204206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282465792).

204206240 is an abundant number, since it is smaller than the sum of its proper divisors (360725344).

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

204206240 is a wasteful number, since it uses less digits than its factorization.

204206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204206240 is about 14290.0748773406. The cubic root of 204206240 is about 588.8748450167.

Adding to 204206240 its reverse (42602402), we get a palindrome (246808642).

The spelling of 204206240 in words is "two hundred four million, two hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4447 4592 5740 6560 8894 9184 11480 17788 22235 22960 31129 35576 44470 45920 62258 71152 88940 124516 142304 155645 177880 182327 249032 311290 355760 364654 498064 622580 711520 729308 911635 996128 1245160 1276289 1458616 1823270 2490320 2552578 2917232 3646540 4980640 5105156 5834464 6381445 7293080 10210312 12762890 14586160 20420624 25525780 29172320 40841248 51051560 102103120 204206240