Search a number
-
+
240145650 = 232525310069
BaseRepresentation
bin11100101000001…
…01010011110010
3121201212122220100
432110011103302
5442434130100
635455053230
75644130043
oct1624052362
9551778810
10240145650
11113612a88
1268511216
133a9a2224
1423c728ca
1516139400
hexe5054f2

240145650 has 72 divisors (see below), whose sum is σ = 657430020. Its totient is φ = 62824320.

The previous prime is 240145603. The next prime is 240145657. The reversal of 240145650 is 56541042.

240145650 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 4 + 5 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 83119689 + 157025961 = 9117^2 + 12531^2 .

It is not an unprimeable number, because it can be changed into a prime (240145657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18816 + ... + 28884.

Almost surely, 2240145650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240145650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328715010).

240145650 is an abundant number, since it is smaller than the sum of its proper divisors (417284370).

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

240145650 is a wasteful number, since it uses less digits than its factorization.

240145650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 240145650 is about 15496.6335053779. The cubic root of 240145650 is about 621.5721892170.

Adding to 240145650 its reverse (56541042), we get a palindrome (296686692).

The spelling of 240145650 in words is "two hundred forty million, one hundred forty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1325 1590 2385 2650 3975 4770 7950 10069 11925 20138 23850 30207 50345 60414 90621 100690 151035 181242 251725 302070 453105 503450 533657 755175 906210 1067314 1510350 1600971 2265525 2668285 3201942 4531050 4802913 5336570 8004855 9605826 13341425 16009710 24014565 26682850 40024275 48029130 80048550 120072825 240145650