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1085310824 = 231319752973
BaseRepresentation
bin100000010110000…
…1000011101101000
32210122012111120012
41000230020131220
54210314421244
6255405551052
735615663333
oct10054103550
92718174505
101085310824
115076a20a4
12263575488
13143b09970
14a41d761a
156543389e
hex40b08768

1085310824 has 32 divisors (see below), whose sum is σ = 2202658920. Its totient is φ = 498360576.

The previous prime is 1085310781. The next prime is 1085310851. The reversal of 1085310824 is 4280135801.

It can be written as a sum of positive squares in 4 ways, for example, as 1083594724 + 1716100 = 32918^2 + 1310^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999 + ... + 46974.

Almost surely, 21085310824 is an apocalyptic number.

It is an amenable number.

1085310824 is an abundant number, since it is smaller than the sum of its proper divisors (1117348096).

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

1085310824 is a wasteful number, since it uses less digits than its factorization.

1085310824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53189 (or 53185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1085310824 is about 32944.0559737261. The cubic root of 1085310824 is about 1027.6645561812.

The spelling of 1085310824 in words is "one billion, eighty-five million, three hundred ten thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 10244 20488 52973 105946 211892 423784 688649 1377298 2754596 5509192 10435681 20871362 41742724 83485448 135663853 271327706 542655412 1085310824