Search a number
-
+
240098160 = 24351000409
BaseRepresentation
bin11100100111110…
…01101101110000
3121201210020202110
432103321231300
5442431120120
635454045320
75643541431
oct1623715560
9551706673
10240098160
11113590335
12684a9840
133a986723
1423c5d488
151612a2e0
hexe4f9b70

240098160 has 40 divisors (see below), whose sum is σ = 744305040. Its totient is φ = 64026112.

The previous prime is 240098119. The next prime is 240098171. The reversal of 240098160 is 61890042.

240098160 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 (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 499965 + ... + 500444.

It is an arithmetic number, because the mean of its divisors is an integer number (18607626).

Almost surely, 2240098160 is an apocalyptic number.

240098160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240098160 is an abundant number, since it is smaller than the sum of its proper divisors (504206880).

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

240098160 is a wasteful number, since it uses less digits than its factorization.

240098160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000425 (or 1000419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 240098160 is about 15495.1011613348. The cubic root of 240098160 is about 621.5312135157.

The spelling of 240098160 in words is "two hundred forty million, ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1000409 2000818 3001227 4001636 5002045 6002454 8003272 10004090 12004908 15006135 16006544 20008180 24009816 30012270 40016360 48019632 60024540 80032720 120049080 240098160