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1132464641 = 711432111621
BaseRepresentation
bin100001110000000…
…0000101000000001
32220220221011102212
41003200000220001
54304402332031
6304212351505
740030535120
oct10340005001
92826834385
101132464641
115312794a0
12277315595
13150809729
14aa58dab7
156964a12b
hex43800a01

1132464641 has 32 divisors (see below), whose sum is σ = 1452481536. Its totient is φ = 857304000.

The previous prime is 1132464617. The next prime is 1132464659. The reversal of 1132464641 is 1464642311.

It is not a de Polignac number, because 1132464641 - 210 = 1132463617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132464598 and 1132464607.

It is not an unprimeable number, because it can be changed into a prime (1132464341) 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 31 ways as a sum of consecutive naturals, for example, 697811 + ... + 699431.

It is an arithmetic number, because the mean of its divisors is an integer number (45390048).

Almost surely, 21132464641 is an apocalyptic number.

1132464641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1132464641 is a deficient number, since it is larger than the sum of its proper divisors (320016895).

1132464641 is a wasteful number, since it uses less digits than its factorization.

1132464641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893.

The product of its digits is 13824, while the sum is 32.

The square root of 1132464641 is about 33652.1119842425. Note that the first 3 decimals coincide. The cubic root of 1132464641 is about 1042.3371505004.

The spelling of 1132464641 in words is "one billion, one hundred thirty-two million, four hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 7 11 43 77 211 301 473 1477 1621 2321 3311 9073 11347 16247 17831 63511 69703 99803 124817 342031 487921 698621 766733 2394217 3762341 5367131 14707333 26336387 102951331 161780663 1132464641