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261042160 = 2457344699
BaseRepresentation
bin11111000111100…
…10111111110000
3200012012022112011
433203302333300
51013311322120
641523012304
76316551601
oct1743627760
9605168464
10261042160
11124395925
127350a094
134210a722
1426951da8
1517db5c5a
hexf8f2ff0

261042160 has 40 divisors (see below), whose sum is σ = 615250800. Its totient is φ = 102984192.

The previous prime is 261042101. The next prime is 261042161. The reversal of 261042160 is 61240162.

261042160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261042161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16510 + ... + 28189.

It is an arithmetic number, because the mean of its divisors is an integer number (15381270).

Almost surely, 2261042160 is an apocalyptic number.

261042160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261042160 is an abundant number, since it is smaller than the sum of its proper divisors (354208640).

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

261042160 is a wasteful number, since it uses less digits than its factorization.

261042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44785 (or 44779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 261042160 is about 16156.7991879580. The cubic root of 261042160 is about 639.1020610668.

The spelling of 261042160 in words is "two hundred sixty-one million, forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 44699 89398 178796 223495 357592 446990 715184 893980 1787960 3263027 3575920 6526054 13052108 16315135 26104216 32630270 52208432 65260540 130521080 261042160