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261143124 = 2231115712601
BaseRepresentation
bin11111001000010…
…11101001010100
3200012101110000120
433210023221110
51013323034444
641525111540
76320452134
oct1744135124
9605343016
10261143124
11124454770
12735585b0
1342144678
142697aac4
1517dd5b19
hexf90ba54

261143124 has 48 divisors (see below), whose sum is σ = 669014976. Its totient is φ = 78624000.

The previous prime is 261143117. The next prime is 261143147. The reversal of 261143124 is 421341162.

261143124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 261143094 and 261143103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14424 + ... + 27024.

It is an arithmetic number, because the mean of its divisors is an integer number (13937812).

Almost surely, 2261143124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261143124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334507488).

261143124 is an abundant number, since it is smaller than the sum of its proper divisors (407871852).

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

261143124 is a wasteful number, since it uses less digits than its factorization.

261143124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776 (or 12774 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 261143124 is about 16159.9233909075. The cubic root of 261143124 is about 639.1844462050.

Adding to 261143124 its reverse (421341162), we get a palindrome (682484286).

The spelling of 261143124 in words is "two hundred sixty-one million, one hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6908 10362 12601 20724 25202 37803 50404 75606 138611 151212 277222 415833 554444 831666 1663332 1978357 3956714 5935071 7913428 11870142 21761927 23740284 43523854 65285781 87047708 130571562 261143124