Search a number
-
+
206200704 = 2732337631
BaseRepresentation
bin11000100101001…
…01111110000000
3112101000002012010
430102211332000
5410241410304
632243332520
75052451143
oct1422457600
9471002163
10206200704
11a6438706
1259081140
1333948768
141d55805a
1513181789
hexc4a5f80

206200704 has 128 divisors (see below), whose sum is σ = 587911680. Its totient is φ = 63866880.

The previous prime is 206200669. The next prime is 206200723. The reversal of 206200704 is 407002602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 326469 + ... + 327099.

It is an arithmetic number, because the mean of its divisors is an integer number (4593060).

Almost surely, 2206200704 is an apocalyptic number.

206200704 is a gapful number since it is divisible by the number (24) 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 206200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293955840).

206200704 is an abundant number, since it is smaller than the sum of its proper divisors (381710976).

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

206200704 is a wasteful number, since it uses less digits than its factorization.

206200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

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

The square root of 206200704 is about 14359.6902473556. The cubic root of 206200704 is about 590.7857996488.

The spelling of 206200704 in words is "two hundred six million, two hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 128 138 148 184 192 222 276 296 368 384 444 552 592 631 736 851 888 1104 1184 1262 1472 1702 1776 1893 2208 2368 2524 2553 2944 3404 3552 3786 4416 4736 5048 5106 6808 7104 7572 8832 10096 10212 13616 14208 14513 15144 20192 20424 23347 27232 29026 30288 40384 40848 43539 46694 54464 58052 60576 70041 80768 81696 87078 93388 108928 116104 121152 140082 163392 174156 186776 232208 242304 280164 326784 348312 373552 464416 536981 560328 696624 747104 928832 1073962 1120656 1393248 1494208 1610943 1857664 2147924 2241312 2786496 2988416 3221886 4295848 4482624 5572992 6443772 8591696 8965248 12887544 17183392 25775088 34366784 51550176 68733568 103100352 206200704