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261244260 = 223252336229
BaseRepresentation
bin11111001001001…
…00010101100100
3200012120120202100
433210210111210
51013334304020
641531212100
76321353034
oct1744442544
9605516670
10261244260
11124513752
12735a7030
134217b704
14269a58c4
1517e05a90
hexf924564

261244260 has 72 divisors (see below), whose sum is σ = 795969720. Its totient is φ = 69355008.

The previous prime is 261244213. The next prime is 261244289. The reversal of 261244260 is 62442162.

261244260 is a `hidden beast` number, since 2 + 612 + 4 + 42 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 254147364 = 2664^2 + 15942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38826 + ... + 45054.

It is an arithmetic number, because the mean of its divisors is an integer number (11055135).

Almost surely, 2261244260 is an apocalyptic number.

261244260 is a gapful number since it is divisible by the number (20) 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 261244260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397984860).

261244260 is an abundant number, since it is smaller than the sum of its proper divisors (534725460).

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

261244260 is a wasteful number, since it uses less digits than its factorization.

261244260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 261244260 is about 16163.0523107487. The cubic root of 261244260 is about 639.2669504064.

The spelling of 261244260 in words is "two hundred sixty-one million, two hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6229 6990 8388 10485 12458 13980 18687 20970 24916 31145 37374 41940 56061 62290 74748 93435 112122 124580 186870 224244 280305 373740 560610 1121220 1451357 2902714 4354071 5805428 7256785 8708142 13062213 14513570 17416284 21770355 26124426 29027140 43540710 52248852 65311065 87081420 130622130 261244260