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261487260 = 223253793833
BaseRepresentation
bin11111001010111…
…11101010011100
3200020000221002100
433211133222130
51013420043020
641540325100
76323414346
oct1745375234
9606027070
10261487260
1112466a281
12736a3790
13422351b8
1426a2a296
1517e52a90
hexf95fa9c

261487260 has 72 divisors (see below), whose sum is σ = 795478320. Its totient is φ = 69527808.

The previous prime is 261487231. The next prime is 261487301. The reversal of 261487260 is 62784162.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66304 + ... + 70136.

It is an arithmetic number, because the mean of its divisors is an integer number (11048310).

Almost surely, 2261487260 is an apocalyptic number.

261487260 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 261487260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397739160).

261487260 is an abundant number, since it is smaller than the sum of its proper divisors (533991060).

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

261487260 is a wasteful number, since it uses less digits than its factorization.

261487260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 261487260 is about 16170.5677080305. The cubic root of 261487260 is about 639.4650966794.

The spelling of 261487260 in words is "two hundred sixty-one million, four hundred eighty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 3833 4548 5685 6822 7580 7666 11370 11499 13644 15332 17055 19165 22740 22998 34110 34497 38330 45996 57495 68220 68994 76660 114990 137988 172485 229980 344970 689940 1452707 2905414 4358121 5810828 7263535 8716242 13074363 14527070 17432484 21790605 26148726 29054140 43581210 52297452 65371815 87162420 130743630 261487260