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261196092 = 2232171732467
BaseRepresentation
bin11111001000110…
…00100100111100
3200012111010200100
433210120210330
51013331233332
641530201100
76321062433
oct1744304474
9605433610
10261196092
11124490543
1273583190
1342162801
142699211a
1517de667c
hexf91893c

261196092 has 72 divisors (see below), whose sum is σ = 703409616. Its totient is φ = 81437184.

The previous prime is 261196081. The next prime is 261196093. The reversal of 261196092 is 290691162.

261196092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261196093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104643 + ... + 107109.

It is an arithmetic number, because the mean of its divisors is an integer number (9769578).

Almost surely, 2261196092 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 261196092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351704808).

261196092 is an abundant number, since it is smaller than the sum of its proper divisors (442213524).

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

261196092 is a wasteful number, since it uses less digits than its factorization.

261196092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 261196092 is about 16161.5621769679. The cubic root of 261196092 is about 639.2276588214.

The spelling of 261196092 in words is "two hundred sixty-one million, one hundred ninety-six thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 173 204 306 346 519 612 692 1038 1557 2076 2467 2941 3114 4934 5882 6228 7401 8823 9868 11764 14802 17646 22203 26469 29604 35292 41939 44406 52938 83878 88812 105876 125817 167756 251634 377451 426791 503268 754902 853582 1280373 1509804 1707164 2560746 3841119 5121492 7255447 7682238 14510894 15364476 21766341 29021788 43532682 65299023 87065364 130598046 261196092