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1087812864 = 28321727773
BaseRepresentation
bin100000011010110…
…1011010100000000
32210210220121201100
41000311223110000
54211440002424
6255535334400
735646154035
oct10065532400
92723817640
101087812864
115090509a6
12264381400
131444a4768
14a468938c
1565779dc9
hex40d6b500

1087812864 has 108 divisors (see below), whose sum is σ = 3321048276. Its totient is φ = 341262336.

The previous prime is 1087812851. The next prime is 1087812877. The reversal of 1087812864 is 4682187801.

It is an interprime number because it is at equal distance from previous prime (1087812851) and next prime (1087812877).

It can be written as a sum of positive squares in 2 ways, for example, as 772395264 + 315417600 = 27792^2 + 17760^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25282 + ... + 53054.

It is an arithmetic number, because the mean of its divisors is an integer number (30750447).

Almost surely, 21087812864 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 1087812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660524138).

1087812864 is an abundant number, since it is smaller than the sum of its proper divisors (2233235412).

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

1087812864 is a wasteful number, since it uses less digits than its factorization.

1087812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1087812864 is about 32982.0081862824. The cubic root of 1087812864 is about 1028.4536648243.

The spelling of 1087812864 in words is "one billion, eighty-seven million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 27773 39168 55546 83319 111092 166638 222184 249957 333276 444368 472141 499914 666552 888736 944282 999828 1333104 1416423 1777472 1888564 1999656 2666208 2832846 3554944 3777128 3999312 4249269 5332416 5665692 7109888 7554256 7998624 8498538 10664832 11331384 15108512 15997248 16997076 21329664 22662768 30217024 31994496 33994152 45325536 60434048 63988992 67988304 90651072 120868096 135976608 181302144 271953216 362604288 543906432 1087812864