Search a number
-
+
240252705 = 32571169337
BaseRepresentation
bin11100101000111…
…11011100100001
3121202002002202100
432110133130201
5443001041310
635501241013
75645054130
oct1624373441
9552062670
10240252705
11113686460
1268563169
133aa0bb84
1423c9d917
151615aec0
hexe51f721

240252705 has 48 divisors (see below), whose sum is σ = 519202944. Its totient is φ = 99843840.

The previous prime is 240252689. The next prime is 240252707. The reversal of 240252705 is 507252042.

It is not a de Polignac number, because 240252705 - 24 = 240252689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (240252707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31204 + ... + 38133.

It is an arithmetic number, because the mean of its divisors is an integer number (10816728).

Almost surely, 2240252705 is an apocalyptic number.

It is an amenable number.

240252705 is an abundant number, since it is smaller than the sum of its proper divisors (278950239).

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

240252705 is a wasteful number, since it uses less digits than its factorization.

240252705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69366 (or 69363 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 240252705 is about 15500.0872578189. The cubic root of 240252705 is about 621.6645394569.

The spelling of 240252705 in words is "two hundred forty million, two hundred fifty-two thousand, seven hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 69337 208011 346685 485359 624033 762707 1040055 1456077 2288121 2426795 3120165 3813535 4368231 5338949 6864363 7280385 11440605 16016847 21841155 26694745 34321815 48050541 80084235 240252705