Search a number
-
+
260385216 = 26372132129
BaseRepresentation
bin11111000010100…
…10100111000000
3200010221221100220
433201102213000
51013124311331
641500543040
76311144400
oct1741224700
9603857326
10260385216
11123a872a3
1273251a80
1341c3a6c0
1426820800
1517cd6296
hexf8529c0

260385216 has 168 divisors, whose sum is σ = 863467920. Its totient is φ = 68640768.

The previous prime is 260385197. The next prime is 260385227. The reversal of 260385216 is 612583062.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2603852162 = 135600921422733312, which contains 22 as substring.

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, 121240 + ... + 123368.

It is an arithmetic number, because the mean of its divisors is an integer number (5139690).

Almost surely, 2260385216 is an apocalyptic number.

260385216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431733960).

260385216 is an abundant number, since it is smaller than the sum of its proper divisors (603082704).

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

260385216 is a wasteful number, since it uses less digits than its factorization.

260385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 260385216 is about 16136.4561165084. The cubic root of 260385216 is about 638.5654849543.

The spelling of 260385216 in words is "two hundred sixty million, three hundred eighty-five thousand, two hundred sixteen".