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1134124224 = 26312746511
BaseRepresentation
bin100001110011001…
…0101110011000000
32221001001110221220
41003212111303000
54310313433344
6304312115040
740050616422
oct10346256300
92831043856
101134124224
11532202352
12277995a80
13150c6ac2c
14aa8a2812
1569876c19
hex43995cc0

1134124224 has 56 divisors (see below), whose sum is σ = 3024396288. Its totient is φ = 375056640.

The previous prime is 1134124219. The next prime is 1134124249. The reversal of 1134124224 is 4224214311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1134124194 and 1134124203.

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, 1129 + ... + 47639.

Almost surely, 21134124224 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 1134124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512198144).

1134124224 is an abundant number, since it is smaller than the sum of its proper divisors (1890272064).

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

1134124224 is a wasteful number, since it uses less digits than its factorization.

1134124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46653 (or 46643 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1134124224 is about 33676.7608893730. The cubic root of 1134124224 is about 1042.8460702003.

Adding to 1134124224 its reverse (4224214311), we get a palindrome (5358338535).

The spelling of 1134124224 in words is "one billion, one hundred thirty-four million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 12192 24384 46511 93022 139533 186044 279066 372088 558132 744176 1116264 1488352 2232528 2976704 4465056 5906897 8930112 11813794 17720691 23627588 35441382 47255176 70882764 94510352 141765528 189020704 283531056 378041408 567062112 1134124224