Search a number
-
+
265554240 = 2635743919
BaseRepresentation
bin11111101010000…
…00100101000000
3200111200112221020
433311000211000
51020440213430
642203425440
76403113420
oct1765004500
9614615836
10265554240
11126997916
1274b25280
134302a3b3
14273a8480
15184a7b10
hexfd40940

265554240 has 224 divisors, whose sum is σ = 987064320. Its totient is φ = 59222016.

The previous prime is 265554169. The next prime is 265554257. The reversal of 265554240 is 42455562.

265554240 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 (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288501 + ... + 289419.

Almost surely, 2265554240 is an apocalyptic number.

265554240 is a gapful number since it is divisible by the number (20) 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 265554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493532160).

265554240 is an abundant number, since it is smaller than the sum of its proper divisors (721510080).

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

265554240 is a wasteful number, since it uses less digits than its factorization.

265554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 265554240 is about 16295.8350507116. The cubic root of 265554240 is about 642.7633121606.

The spelling of 265554240 in words is "two hundred sixty-five million, five hundred fifty-four thousand, two hundred forty".