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1134024024 = 233725126893
BaseRepresentation
bin100001110010111…
…1101010101011000
32221000212101111210
41003211331111120
54310302232044
6304310023120
740050021330
oct10345752530
92830771453
101134024024
11532144041
12277947aa0
13150c34443
14aa8780c0
15698571b9
hex4397d558

1134024024 has 64 divisors (see below), whose sum is σ = 3253098240. Its totient is φ = 322704000.

The previous prime is 1134024011. The next prime is 1134024041. The reversal of 1134024024 is 4204204311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28722 + ... + 55614.

It is an arithmetic number, because the mean of its divisors is an integer number (50829660).

Almost surely, 21134024024 is an apocalyptic number.

1134024024 is a gapful number since it is divisible by the number (14) 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 1134024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626549120).

1134024024 is an abundant number, since it is smaller than the sum of its proper divisors (2119074216).

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

1134024024 is a wasteful number, since it uses less digits than its factorization.

1134024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27160 (or 27156 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1134024024 is about 33675.2731837472. The cubic root of 1134024024 is about 1042.8153574408.

Adding to 1134024024 its reverse (4204204311), we get a palindrome (5338228335).

The spelling of 1134024024 in words is "one billion, one hundred thirty-four million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 3012 3514 5271 6024 7028 10542 14056 21084 26893 42168 53786 80679 107572 161358 188251 215144 322716 376502 564753 645432 753004 1129506 1506008 2259012 4518024 6750143 13500286 20250429 27000572 40500858 47251001 54001144 81001716 94502002 141753003 162003432 189004004 283506006 378008008 567012012 1134024024