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240156252 = 2234732161
BaseRepresentation
bin11100101000001…
…11111001011100
3121201220012110000
432110013321130
5442440000002
635455214300
75644203000
oct1624077134
9551805400
10240156252
1111361aa46
1268517390
133a9a6cbb
1423c76700
151613c61c
hexe507e5c

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".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2161 2268 2646 3087 3969 4116 4322 5292 6174 6483 7938 8644 9261 12348 12966 15127 15876 18522 19449 25932 27783 30254 37044 38898 45381 55566 58347 60508 77796 90762 105889 111132 116694 136143 175041 181524 211778 233388 272286 317667 350082 408429 423556 544572 635334 700164 741223 816858 953001 1225287 1270668 1482446 1633716 1906002 2223669 2450574 2859003 2964892 3812004 4447338 4901148 5718006 6671007 8577009 8894676 11436012 13342014 17154018 20013021 26684028 34308036 40026042 60039063 80052084 120078126 240156252