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1087764864 = 27319114831
BaseRepresentation
bin100000011010101…
…1111100110000000
32210210211011212120
41000311133212000
54211431433424
6255534324240
735645564064
oct10065374600
92723734776
101087764864
1150901892a
12264359680
13144488964
14a4675aa4
156576aa79
hex40d5f980

1087764864 has 64 divisors (see below), whose sum is σ = 2904698880. Its totient is φ = 360665600.

The previous prime is 1087764863. The next prime is 1087764913. The reversal of 1087764864 is 4684677801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087764863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65929 + ... + 80759.

It is an arithmetic number, because the mean of its divisors is an integer number (45385920).

Almost surely, 21087764864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452349440).

1087764864 is an abundant number, since it is smaller than the sum of its proper divisors (1816934016).

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

1087764864 is a wasteful number, since it uses less digits than its factorization.

1087764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15039 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 1087764864 is about 32981.2805087977. The cubic root of 1087764864 is about 1028.4385376814.

The spelling of 1087764864 in words is "one billion, eighty-seven million, seven hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 382 384 573 764 1146 1528 2292 3056 4584 6112 9168 12224 14831 18336 24448 29662 36672 44493 59324 73344 88986 118648 177972 237296 355944 474592 711888 949184 1423776 1898368 2832721 2847552 5665442 5695104 8498163 11330884 16996326 22661768 33992652 45323536 67985304 90647072 135970608 181294144 271941216 362588288 543882432 1087764864