Search a number
-
+
241010120 = 235133114951
BaseRepresentation
bin11100101110110…
…00010111001000
3121210111120201202
432113120113020
5443144310440
635525403332
75654360261
oct1627302710
9553446652
10241010120
1111405351a
1268869548
133ac15850
1424019968
151625a615
hexe5d85c8

241010120 has 64 divisors (see below), whose sum is σ = 602864640. Its totient is φ = 86112000.

The previous prime is 241010087. The next prime is 241010137. The reversal of 241010120 is 21010142.

241010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8645 + ... + 23595.

It is an arithmetic number, because the mean of its divisors is an integer number (9419760).

Almost surely, 2241010120 is an apocalyptic number.

241010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301432320).

241010120 is an abundant number, since it is smaller than the sum of its proper divisors (361854520).

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

241010120 is a wasteful number, since it uses less digits than its factorization.

241010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 241010120 is about 15524.5006360913. The cubic root of 241010120 is about 622.3171357952.

Adding to 241010120 its reverse (21010142), we get a palindrome (262020262).

The spelling of 241010120 in words is "two hundred forty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 14951 16120 29902 59804 74755 119608 149510 194363 299020 388726 463481 598040 777452 926962 971815 1554904 1853924 1943630 2317405 3707848 3887260 4634810 6025253 7774520 9269620 12050506 18539240 24101012 30126265 48202024 60252530 120505060 241010120