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1140024440 = 235235872111
BaseRepresentation
bin100001111110011…
…0110010001111000
32221110011020112102
41003330312101320
54313321240230
6305042402532
740152022262
oct10374662170
92843136472
101140024440
11535572265
12279960448
13152255699
14ab59ab32
156a140045
hex43f36478

1140024440 has 64 divisors (see below), whose sum is σ = 2682408960. Its totient is φ = 435233920.

The previous prime is 1140024439. The next prime is 1140024449. The reversal of 1140024440 is 444200411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140024449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538985 + ... + 541095.

It is an arithmetic number, because the mean of its divisors is an integer number (41912640).

Almost surely, 21140024440 is an apocalyptic number.

1140024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

1140024440 is an abundant number, since it is smaller than the sum of its proper divisors (1542384520).

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

1140024440 is a wasteful number, since it uses less digits than its factorization.

1140024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1140024440 is about 33764.2479554928. The cubic root of 1140024440 is about 1044.6513920022.

Adding to 1140024440 its reverse (444200411), we get a palindrome (1584224851).

The spelling of 1140024440 in words is "one billion, one hundred forty million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 587 920 1174 2111 2348 2935 4222 4696 5870 8444 10555 11740 13501 16888 21110 23480 27002 42220 48553 54004 67505 84440 97106 108008 135010 194212 242765 270020 388424 485530 540040 971060 1239157 1942120 2478314 4956628 6195785 9913256 12391570 24783140 28500611 49566280 57001222 114002444 142503055 228004888 285006110 570012220 1140024440