Search a number
-
+
261630204 = 2231117313761
BaseRepresentation
bin11111001100000…
…10100011111100
3200020022012011120
433212002203330
51013434131304
641543350540
76324551163
oct1746024374
9606265146
10261630204
11124757710
1273752450
1342285294
1426a663da
1517e800d9
hexf9828fc

261630204 has 96 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 72192000.

The previous prime is 261630203. The next prime is 261630211. The reversal of 261630204 is 402036162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261630203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67684 + ... + 71444.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2261630204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261630204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

261630204 is an abundant number, since it is smaller than the sum of its proper divisors (466452228).

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

261630204 is a wasteful number, since it uses less digits than its factorization.

261630204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 261630204 is about 16174.9869860844. The cubic root of 261630204 is about 639.5815982731.

Adding to 261630204 its reverse (402036162), we get a palindrome (663666366).

The spelling of 261630204 in words is "two hundred sixty-one million, six hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 748 1023 1054 1122 1364 1581 2046 2108 2244 3162 3761 4092 5797 6324 7522 11283 11594 15044 17391 22566 23188 34782 41371 45132 63937 69564 82742 116591 124113 127874 165484 191811 233182 248226 255748 349773 383622 466364 496452 699546 703307 767244 1282501 1399092 1406614 1982047 2109921 2565002 2813228 3847503 3964094 4219842 5130004 5946141 7695006 7928188 8439684 11892282 15390012 21802517 23784564 43605034 65407551 87210068 130815102 261630204