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240513042 = 2371117113271
BaseRepresentation
bin11100101010111…
…11000000010010
3121202120022212110
432111133000102
5443032404132
635511010150
75650220130
oct1625370022
9552508773
10240513042
11113844010
1268669956
133aaa0513
1423d2a750
15161ad1cc
hexe55f012

240513042 has 128 divisors (see below), whose sum is σ = 642981888. Its totient is φ = 58060800.

The previous prime is 240513029. The next prime is 240513043. The reversal of 240513042 is 240315042.

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

It is not an unprimeable number, because it can be changed into a prime (240513043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887367 + ... + 887637.

It is an arithmetic number, because the mean of its divisors is an integer number (5023296).

Almost surely, 2240513042 is an apocalyptic number.

240513042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240513042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321490944).

240513042 is an abundant number, since it is smaller than the sum of its proper divisors (402468846).

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

240513042 is a wasteful number, since it uses less digits than its factorization.

240513042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 240513042 is about 15508.4829045268. The cubic root of 240513042 is about 621.8890029152.

Adding to 240513042 its reverse (240315042), we get a palindrome (480828084).

The spelling of 240513042 in words is "two hundred forty million, five hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 113 119 154 187 226 231 238 271 339 357 374 462 542 561 678 714 791 813 1122 1243 1309 1582 1626 1897 1921 2373 2486 2618 2981 3729 3794 3842 3927 4607 4746 5691 5763 5962 7458 7854 8701 8943 9214 11382 11526 13447 13821 17402 17886 20867 21131 26103 26894 27642 30623 32249 40341 41734 42262 50677 52206 61246 62601 63393 64498 80682 91869 96747 101354 125202 126786 147917 152031 183738 193494 214361 295834 304062 336853 354739 428722 443751 520591 643083 673706 709478 887502 1010559 1041182 1064217 1286166 1561773 2021118 2128434 2357971 3123546 3644137 4715942 5726501 7073913 7288274 10932411 11453002 14147826 17179503 21864822 34359006 40085507 80171014 120256521 240513042