Search a number
-
+
240122020 = 22512299769
BaseRepresentation
bin11100100111111…
…11100010100100
3121201211110111011
432103333202210
5442432401040
635454352004
75644001125
oct1623774244
9551743434
10240122020
111135a7256
12684bb604
133a994548
1423c6804c
15161323ea
hexe4ff8a4

240122020 has 24 divisors (see below), whose sum is σ = 504718200. Its totient is φ = 95960832.

The previous prime is 240122011. The next prime is 240122023. The reversal of 240122020 is 20221042.

It can be written as a sum of positive squares in 4 ways, for example, as 71537764 + 168584256 = 8458^2 + 12984^2 .

It is a super-3 number, since 3×2401220203 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (240122023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19696 + ... + 29464.

It is an arithmetic number, because the mean of its divisors is an integer number (21029925).

Almost surely, 2240122020 is an apocalyptic number.

240122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240122020 is an abundant number, since it is smaller than the sum of its proper divisors (264596180).

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

240122020 is a wasteful number, since it uses less digits than its factorization.

240122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 240122020 is about 15495.8710629638. The cubic root of 240122020 is about 621.5518012669.

Adding to 240122020 its reverse (20221042), we get a palindrome (260343062).

The spelling of 240122020 in words is "two hundred forty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1229 2458 4916 6145 9769 12290 19538 24580 39076 48845 97690 195380 12006101 24012202 48024404 60030505 120061010 240122020