Search a number
-
+
206504720 = 2455967653
BaseRepresentation
bin11000100111100…
…00001100010000
3112101120112012222
430103300030100
5410331122340
632254040212
75055155402
oct1423601420
9471515188
10206504720
11a6626064
12591a9068
1333a23c56
141d5d6b72
15131e18b5
hexc4f0310

206504720 has 80 divisors (see below), whose sum is σ = 496307520. Its totient is φ = 79867392.

The previous prime is 206504713. The next prime is 206504783. The reversal of 206504720 is 27405602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 206504720.

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, 315914 + ... + 316566.

It is an arithmetic number, because the mean of its divisors is an integer number (6203844).

Almost surely, 2206504720 is an apocalyptic number.

206504720 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 206504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248153760).

206504720 is an abundant number, since it is smaller than the sum of its proper divisors (289802800).

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

206504720 is a wasteful number, since it uses less digits than its factorization.

206504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 206504720 is about 14370.2720920656. The cubic root of 206504720 is about 591.0760025672.

The spelling of 206504720 in words is "two hundred six million, five hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 67 80 118 134 236 268 295 335 472 536 590 653 670 944 1072 1180 1306 1340 2360 2612 2680 3265 3953 4720 5224 5360 6530 7906 10448 13060 15812 19765 26120 31624 38527 39530 43751 52240 63248 77054 79060 87502 154108 158120 175004 192635 218755 308216 316240 350008 385270 437510 616432 700016 770540 875020 1541080 1750040 2581309 3082160 3500080 5162618 10325236 12906545 20650472 25813090 41300944 51626180 103252360 206504720