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261112968 = 23323626569
BaseRepresentation
bin11111001000001…
…00010010001000
3200012022220122200
433210010102020
51013321103333
641524320200
76320265204
oct1744042210
9605286580
10261112968
11124434046
1273543060
1342133a1c
142696db04
1517dcbc13
hexf904488

261112968 has 24 divisors (see below), whose sum is σ = 707181150. Its totient is φ = 87037632.

The previous prime is 261112967. The next prime is 261112987. The reversal of 261112968 is 869211162.

It can be written as a sum of positive squares in only one way, i.e., 221950404 + 39162564 = 14898^2 + 6258^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (261112961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1813213 + ... + 1813356.

Almost surely, 2261112968 is an apocalyptic number.

It is an amenable number.

261112968 is an abundant number, since it is smaller than the sum of its proper divisors (446068182).

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

261112968 is a wasteful number, since it uses less digits than its factorization.

261112968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626581 (or 3626574 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 261112968 is about 16158.9903149918. The cubic root of 261112968 is about 639.1598415771.

The spelling of 261112968 in words is "two hundred sixty-one million, one hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3626569 7253138 10879707 14506276 21759414 29012552 32639121 43518828 65278242 87037656 130556484 261112968