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1134099792 = 24347149839
BaseRepresentation
bin100001110011000…
…1111110101010000
32221001000020110000
41003212033311100
54310312143132
6304311410000
740050455250
oct10346176520
92831006400
101134099792
11532195a61
12277983900
13150c5ca87
14aa897960
156986e87c
hex4398fd50

1134099792 has 200 divisors, whose sum is σ = 3781008000. Its totient is φ = 321470208.

The previous prime is 1134099763. The next prime is 1134099803. The reversal of 1134099792 is 2979904311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1351309 + ... + 1352147.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 21134099792 is an apocalyptic number.

1134099792 is a gapful number since it is divisible by the number (12) 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 1134099792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890504000).

1134099792 is an abundant number, since it is smaller than the sum of its proper divisors (2646908208).

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

1134099792 is a wasteful number, since it uses less digits than its factorization.

1134099792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1134099792 is about 33676.3981446948. The cubic root of 1134099792 is about 1042.8385816032.

It can be divided in two parts, 113409 and 9792, that added together give a square (123201 = 3512).

The spelling of 1134099792 in words is "one billion, one hundred thirty-four million, ninety-nine thousand, seven hundred ninety-two".