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261080964 = 223226932
BaseRepresentation
bin11111000111111…
…00011110000100
3200012021021202100
433203330132010
51013314042324
641523512100
76320102664
oct1743743604
9605237670
10261080964
11124411aa1
1273528630
13421222a1
14269621a4
1517dc24c9
hexf8fc784

261080964 has 27 divisors (see below), whose sum is σ = 660199813. Its totient is φ = 86994672.

The previous prime is 261080947. The next prime is 261080969. The reversal of 261080964 is 469080162.

The square root of 261080964 is 16158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107122500 + 153958464 = 10350^2 + 12408^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261080969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95602 + ... + 98294.

Almost surely, 2261080964 is an apocalyptic number.

261080964 is the 16158-th square number.

It is an amenable number.

261080964 is an abundant number, since it is smaller than the sum of its proper divisors (399118849).

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

261080964 is an equidigital number, since it uses as much as digits as its factorization.

261080964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 261080964 is about 639.1337270726.

Multiplying 261080964 by its sum of digits (36), we get a square (9398914704 = 969482).

261080964 divided by its sum of digits (36) gives a square (7252249 = 26932).

Multiplying 261080964 by its product of nonzero digits (20736), we get a square (5413774869504 = 23267522).

The spelling of 261080964 in words is "two hundred sixty-one million, eighty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2693 5386 8079 10772 16158 24237 32316 48474 96948 7252249 14504498 21756747 29008996 43513494 65270241 87026988 130540482 261080964