Search a number
-
+
240150414 = 23759199487
BaseRepresentation
bin11100101000001…
…10011110001110
3121201212220102210
432110012132032
5442434303124
635455131250
75644146660
oct1624063616
9551786383
10240150414
11113616619
1268513b26
133a9a444a
1423c74530
151613aa29
hexe50678e

240150414 has 64 divisors (see below), whose sum is σ = 562176000. Its totient is φ = 66974688.

The previous prime is 240150403. The next prime is 240150419. The reversal of 240150414 is 414051042.

It is a happy number.

240150414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240150419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492879 + ... + 493365.

It is an arithmetic number, because the mean of its divisors is an integer number (8784000).

Almost surely, 2240150414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240150414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281088000).

240150414 is an abundant number, since it is smaller than the sum of its proper divisors (322025586).

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

240150414 is a wasteful number, since it uses less digits than its factorization.

240150414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 240150414 is about 15496.7872154198. The cubic root of 240150414 is about 621.5762994314.

The spelling of 240150414 in words is "two hundred forty million, one hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 199 354 398 413 487 597 826 974 1194 1239 1393 1461 2478 2786 2922 3409 4179 6818 8358 10227 11741 20454 23482 28733 35223 57466 70446 82187 86199 96913 164374 172398 193826 201131 246561 290739 402262 493122 581478 603393 678391 1206786 1356782 2035173 4070346 5717867 11435734 17153601 34307202 40025069 80050138 120075207 240150414