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1134153024 = 26322326489
BaseRepresentation
bin100001110011001…
…1100110101000000
32221001002221110120
41003212130311000
54310320344044
6304312500240
740051066404
oct10346346500
92831087416
101134153024
11532221a54
122779aa680
13150c7b084
14aa8ad104
1569880519
hex4399cd40

1134153024 has 56 divisors (see below), whose sum is σ = 3014350080. Its totient is φ = 376341504.

The previous prime is 1134153017. The next prime is 1134153037. The reversal of 1134153024 is 4203514311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1134152985 and 1134153003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29572 + ... + 56060.

It is an arithmetic number, because the mean of its divisors is an integer number (53827680).

Almost surely, 21134153024 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 1134153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507175040).

1134153024 is an abundant number, since it is smaller than the sum of its proper divisors (1880197056).

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

1134153024 is a wasteful number, since it uses less digits than its factorization.

1134153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26727 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1134153024 is about 33677.1884812257. The cubic root of 1134153024 is about 1042.8548974851.

Adding to 1134153024 its reverse (4203514311), we get a palindrome (5337667335).

The spelling of 1134153024 in words is "one billion, one hundred thirty-four million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 26489 42816 52978 79467 105956 158934 211912 317868 423824 635736 847648 1271472 1695296 2542944 5085888 5907047 11814094 17721141 23628188 35442282 47256376 70884564 94512752 141769128 189025504 283538256 378051008 567076512 1134153024