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1126560960 = 2634572887
BaseRepresentation
bin100001100100101…
…1111010011000000
32220111211020010000
41003021133103000
54301344422320
6303442040000
736626416200
oct10311372300
92814736100
101126560960
11528a06a18
12275349000
1314c520525
14a9894400
1568d80c90
hex4325f4c0

1126560960 has 420 divisors, whose sum is σ = 4666896432. Its totient is φ = 257209344.

The previous prime is 1126560923. The next prime is 1126560973. The reversal of 1126560960 is 690656211.

1126560960 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 560 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×11265609602 = 2538279193192243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1269637 + ... + 1270523.

Almost surely, 21126560960 is an apocalyptic number.

1126560960 is a gapful number since it is divisible by the number (10) 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 1126560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333448216).

1126560960 is an abundant number, since it is smaller than the sum of its proper divisors (3540335472).

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

1126560960 is an equidigital number, since it uses as much as digits as its factorization.

1126560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1126560960 is about 33564.2810141972. The cubic root of 1126560960 is about 1040.5227155371.

The spelling of 1126560960 in words is "one billion, one hundred twenty-six million, five hundred sixty thousand, nine hundred sixty".