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1140204024 = 2332231494621
BaseRepresentation
bin100001111110110…
…0010000111111000
32221110111100212200
41003331202013320
54313343012044
6305050310200
740153400661
oct10375420770
92843440780
101140204024
11535685183
12279a28360
131522b934b
14ab606368
156a178369
hex43f621f8

1140204024 has 96 divisors (see below), whose sum is σ = 3244644000. Its totient is φ = 361025280.

The previous prime is 1140204019. The next prime is 1140204029. The reversal of 1140204024 is 4204020411.

It is an interprime number because it is at equal distance from previous prime (1140204019) and next prime (1140204029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140203988 and 1140204006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140204029) 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, 244434 + ... + 249054.

It is an arithmetic number, because the mean of its divisors is an integer number (33798375).

Almost surely, 21140204024 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 1140204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622322000).

1140204024 is an abundant number, since it is smaller than the sum of its proper divisors (2104439976).

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

1140204024 is a wasteful number, since it uses less digits than its factorization.

1140204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1140204024 is about 33766.9072317854. The cubic root of 1140204024 is about 1044.7062425297.

Adding to 1140204024 its reverse (4204020411), we get a palindrome (5344224435).

The spelling of 1140204024 in words is "one billion, one hundred forty million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 552 596 828 894 1192 1341 1656 1788 2682 3427 3576 4621 5364 6854 9242 10281 10728 13708 13863 18484 20562 27416 27726 30843 36968 41124 41589 55452 61686 82248 83178 106283 110904 123372 166356 212566 246744 318849 332712 425132 637698 688529 850264 956547 1275396 1377058 1913094 2065587 2550792 2754116 3826188 4131174 5508232 6196761 7652376 8262348 12393522 15836167 16524696 24787044 31672334 47508501 49574088 63344668 95017002 126689336 142525503 190034004 285051006 380068008 570102012 1140204024