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261677140 = 22513083857
BaseRepresentation
bin11111001100011…
…10000001010100
3200020101120112221
433212032001110
51013442132030
641544352124
76325135054
oct1746160124
9606346487
10261677140
111247899aa
1273775644
13422a075a
1426a79564
1517e8de7a
hexf98e054

261677140 has 12 divisors (see below), whose sum is σ = 549522036. Its totient is φ = 104670848.

The previous prime is 261677137. The next prime is 261677149. The reversal of 261677140 is 41776162.

It is a happy number.

261677140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28259856 + 233417284 = 5316^2 + 15278^2 .

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 261677096 and 261677105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261677149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6541909 + ... + 6541948.

It is an arithmetic number, because the mean of its divisors is an integer number (45793503).

Almost surely, 2261677140 is an apocalyptic number.

261677140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261677140 is an abundant number, since it is smaller than the sum of its proper divisors (287844896).

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

261677140 is a wasteful number, since it uses less digits than its factorization.

261677140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13083866 (or 13083864 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 261677140 is about 16176.4378031753. The cubic root of 261677140 is about 639.6198425921.

The spelling of 261677140 in words is "two hundred sixty-one million, six hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 13083857 26167714 52335428 65419285 130838570 261677140