Search a number
-
+
261960132 = 223729532029
BaseRepresentation
bin11111001110100…
…11000111000100
3200020220221202010
433213103013010
51014030211012
641554414220
76330424110
oct1747230704
9606827663
10261960132
11124962585
1273891370
134236c4c5
1426b10740
1517ee7c3c
hexf9d31c4

261960132 has 96 divisors (see below), whose sum is σ = 736646400. Its totient is φ = 70866432.

The previous prime is 261960113. The next prime is 261960221. The reversal of 261960132 is 231069162.

It is a super-2 number, since 2×2619601322 = 137246221514914848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261960132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128094 + ... + 130122.

It is an arithmetic number, because the mean of its divisors is an integer number (7673400).

Almost surely, 2261960132 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 261960132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368323200).

261960132 is an abundant number, since it is smaller than the sum of its proper divisors (474686268).

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

261960132 is a wasteful number, since it uses less digits than its factorization.

261960132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 261960132 is about 16185.1824827526. The cubic root of 261960132 is about 639.8503328409.

The spelling of 261960132 in words is "two hundred sixty-one million, nine hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 53 58 84 87 106 116 159 174 203 212 318 348 371 406 609 636 742 812 1113 1218 1484 1537 2029 2226 2436 3074 4058 4452 4611 6087 6148 8116 9222 10759 12174 14203 18444 21518 24348 28406 32277 42609 43036 56812 58841 64554 85218 107537 117682 129108 170436 176523 215074 235364 322611 353046 411887 430148 645222 706092 752759 823774 1235661 1290444 1505518 1647548 2258277 2471322 3011036 3118573 4516554 4942644 6237146 9033108 9355719 12474292 18711438 21830011 37422876 43660022 65490033 87320044 130980066 261960132