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240014268 = 2232131074793
BaseRepresentation
bin11100100111001…
…01001110111100
3121201121222200100
432103211032330
5442420424033
635452201100
75643042024
oct1623451674
9551558610
10240014268
111135332aa
1268469190
133a9574a0
1423c3aa84
1516110513
hexe4e53bc

240014268 has 72 divisors (see below), whose sum is σ = 659616048. Its totient is φ = 73145088.

The previous prime is 240014267. The next prime is 240014317. The reversal of 240014268 is 862410042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240014267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47680 + ... + 52472.

It is an arithmetic number, because the mean of its divisors is an integer number (9161334).

Almost surely, 2240014268 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 240014268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329808024).

240014268 is an abundant number, since it is smaller than the sum of its proper divisors (419601780).

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

240014268 is a wasteful number, since it uses less digits than its factorization.

240014268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 240014268 is about 15492.3938757056. The cubic root of 240014268 is about 621.4588159449.

The spelling of 240014268 in words is "two hundred forty million, fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2782 3852 4173 4793 5564 8346 9586 12519 14379 16692 19172 25038 28758 43137 50076 57516 62309 86274 124618 172548 186927 249236 373854 512851 560781 747708 1025702 1121562 1538553 2051404 2243124 3077106 4615659 6154212 6667063 9231318 13334126 18462636 20001189 26668252 40002378 60003567 80004756 120007134 240014268