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1133060096 = 213719759
BaseRepresentation
bin100001110001001…
…0010000000000000
32220222001102020202
41003202102000000
54310030410341
6304233224332
740035565130
oct10342220000
92828042222
101133060096
11531645903
122775620a8
1315098777c
14aa6a6ac0
156971679b
hex43892000

1133060096 has 56 divisors (see below), whose sum is σ = 2589824640. Its totient is φ = 485572608.

The previous prime is 1133060077. The next prime is 1133060099. The reversal of 1133060096 is 6900603311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×11330600962 = 2567650362295058432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1133060099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47465 + ... + 67223.

Almost surely, 21133060096 is an apocalyptic number.

1133060096 is a gapful number since it is divisible by the number (16) 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 1133060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294912320).

1133060096 is an abundant number, since it is smaller than the sum of its proper divisors (1456764544).

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

1133060096 is an frugal number, since it uses more digits than its factorization.

1133060096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19792 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 1133060096 is about 33660.9580374653. The cubic root of 1133060096 is about 1042.5198070104.

The spelling of 1133060096 in words is "one billion, one hundred thirty-three million, sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 19759 28672 39518 57344 79036 138313 158072 276626 316144 553252 632288 1106504 1264576 2213008 2529152 4426016 5058304 8852032 10116608 17704064 20233216 35408128 40466432 70816256 80932864 141632512 161865728 283265024 566530048 1133060096