Search a number
-
+
260894016 = 26321931769
BaseRepresentation
bin11111000110011…
…10110101000000
3200011220210022100
433203032311000
51013242102031
641515510400
76315363645
oct1743166500
9604823270
10260894016
111242a4599
1273458400
1342088176
1426913dcc
1517d86de6
hexf8ced40

260894016 has 168 divisors, whose sum is σ = 813612800. Its totient is φ = 79626240.

The previous prime is 260893987. The next prime is 260894027. The reversal of 260894016 is 610498062.

260894016 is a `hidden beast` number, since 2 + 608 + 9 + 40 + 1 + 6 = 666.

260894016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338880 + ... + 339648.

Almost surely, 2260894016 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 260894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406806400).

260894016 is an abundant number, since it is smaller than the sum of its proper divisors (552718784).

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

260894016 is a wasteful number, since it uses less digits than its factorization.

260894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

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

The square root of 260894016 is about 16152.2139658933. The cubic root of 260894016 is about 638.9811392818.

The spelling of 260894016 in words is "two hundred sixty million, eight hundred ninety-four thousand, sixteen".