Search a number
-
+
240242280 = 23352002019
BaseRepresentation
bin11100101000111…
…00111001101000
3121202001120110020
432110130321220
5443000223110
635501120440
75645011545
oct1624347150
9552046406
10240242280
11113679643
1268559120
133aa071c5
1423c99bcc
1516157d70
hexe51ce68

240242280 has 32 divisors (see below), whose sum is σ = 720727200. Its totient is φ = 64064576.

The previous prime is 240242263. The next prime is 240242309. The reversal of 240242280 is 82242042.

240242280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240242280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000890 + ... + 1001129.

It is an arithmetic number, because the mean of its divisors is an integer number (22522725).

Almost surely, 2240242280 is an apocalyptic number.

240242280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240242280 is an abundant number, since it is smaller than the sum of its proper divisors (480484920).

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

240242280 is a wasteful number, since it uses less digits than its factorization.

240242280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002033 (or 2002029 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 240242280 is about 15499.7509657414. The cubic root of 240242280 is about 621.6555476101.

The spelling of 240242280 in words is "two hundred forty million, two hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2002019 4004038 6006057 8008076 10010095 12012114 16016152 20020190 24024228 30030285 40040380 48048456 60060570 80080760 120121140 240242280