Base | Representation |
---|---|
bin | 11100101000001… |
… | …11111001011100 |
3 | 121201220012110000 |
4 | 32110013321130 |
5 | 442440000002 |
6 | 35455214300 |
7 | 5644203000 |
oct | 1624077134 |
9 | 551805400 |
10 | 240156252 |
11 | 11361aa46 |
12 | 68517390 |
13 | 3a9a6cbb |
14 | 23c76700 |
15 | 1613c61c |
hex | e507e5c |
240156252 has 120 divisors (see below), whose sum is σ = 732485600. Its totient is φ = 68584320.
The previous prime is 240156251. The next prime is 240156283. The reversal of 240156252 is 252651042.
240156252 is a `hidden beast` number, since 2 + 401 + 5 + 6 + 252 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (240156251) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110052 + ... + 112212.
Almost surely, 2240156252 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240156252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366242800).
240156252 is an abundant number, since it is smaller than the sum of its proper divisors (492329348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240156252 is a wasteful number, since it uses less digits than its factorization.
240156252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2198 (or 2173 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 240156252 is about 15496.9755758987. The cubic root of 240156252 is about 621.5813361818.
It can be divided in two parts, 2401 and 56252, that added together give a triangular number (58653 = T342).
The spelling of 240156252 in words is "two hundred forty million, one hundred fifty-six thousand, two hundred fifty-two".
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