Search a number
-
+
206608896 = 2932133449
BaseRepresentation
bin11000101000010…
…01101000000000
3112101202211010100
430110021220000
5410342441041
632300202400
75056101204
oct1424115000
9471684110
10206608896
11a669735a
1259239400
1333a5c4b0
141d622b04
15132126b6
hexc509a00

206608896 has 120 divisors (see below), whose sum is σ = 642341700. Its totient is φ = 63553536.

The previous prime is 206608859. The next prime is 206608943. The reversal of 206608896 is 698806602.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 56791296 = 12240^2 + 7536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58180 + ... + 61628.

Almost surely, 2206608896 is an apocalyptic number.

206608896 is a gapful number since it is divisible by the number (26) 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 206608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321170850).

206608896 is an abundant number, since it is smaller than the sum of its proper divisors (435732804).

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

206608896 is a wasteful number, since it uses less digits than its factorization.

206608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 206608896 is about 14373.8963402412. The cubic root of 206608896 is about 591.1753797664.

The spelling of 206608896 in words is "two hundred six million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3449 3744 4608 4992 6656 6898 7488 9984 10347 13796 14976 19968 20694 27592 29952 31041 41388 44837 55184 59904 62082 82776 89674 110368 124164 134511 165552 179348 220736 248328 269022 331104 358696 403533 441472 496656 538044 662208 717392 807066 882944 993312 1076088 1324416 1434784 1614132 1765888 1986624 2152176 2648832 2869568 3228264 3973248 4304352 5297664 5739136 6456528 7946496 8608704 11478272 12913056 15892992 17217408 22956544 25826112 34434816 51652224 68869632 103304448 206608896