[go: up one dir, main page]

Search a number
-
+
260043696 = 243411172937
BaseRepresentation
bin11110111111111…
…11001110110000
3200010022120220000
433133333032300
51013032344241
641445350000
76305222613
oct1737771660
9603276800
10260043696
11123873750
1273108300
1341b4b113
142677217a
1517c69eb6
hexf7ff3b0

260043696 has 400 divisors, whose sum is σ = 923646240. Its totient is φ = 69672960.

The previous prime is 260043647. The next prime is 260043697. The reversal of 260043696 is 696340062.

260043696 is a `hidden beast` number, since 2 + 600 + 43 + 6 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 260043696.

It is not an unprimeable number, because it can be changed into a prime (260043697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7028190 + ... + 7028226.

Almost surely, 2260043696 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 260043696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461823120).

260043696 is an abundant number, since it is smaller than the sum of its proper divisors (663602544).

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

260043696 is a wasteful number, since it uses less digits than its factorization.

260043696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 260043696 is about 16125.8703951136. The cubic root of 260043696 is about 638.2861829995.

The spelling of 260043696 in words is "two hundred sixty million, forty-three thousand, six hundred ninety-six".