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1087360020 = 22325109157353
BaseRepresentation
bin100000011001111…
…1100110000010100
32210210001121112100
41000303330300110
54211331010040
6255521522100
735642256555
oct10063746024
92723047470
101087360020
1150887174a
122641a3330
131443765c6
14a45ac32c
15656dab30
hex40cfcc14

1087360020 has 144 divisors (see below), whose sum is σ = 3359275920. Its totient is φ = 284663808.

The previous prime is 1087360019. The next prime is 1087360051. The reversal of 1087360020 is 200637801.

It can be written as a sum of positive squares in 8 ways, for example, as 16499844 + 1070860176 = 4062^2 + 32724^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3080164 + ... + 3080516.

It is an arithmetic number, because the mean of its divisors is an integer number (23328305).

Almost surely, 21087360020 is an apocalyptic number.

1087360020 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 1087360020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679637960).

1087360020 is an abundant number, since it is smaller than the sum of its proper divisors (2271915900).

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

1087360020 is a wasteful number, since it uses less digits than its factorization.

1087360020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1087360020 is about 32975.1424560987. The cubic root of 1087360020 is about 1028.3109338677.

Adding to 1087360020 its reverse (200637801), we get a palindrome (1287997821).

The spelling of 1087360020 in words is "one billion, eighty-seven million, three hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 157 180 218 314 327 353 436 471 545 628 654 706 785 942 981 1059 1090 1308 1412 1413 1570 1635 1765 1884 1962 2118 2180 2355 2826 3140 3177 3270 3530 3924 4236 4710 4905 5295 5652 6354 6540 7060 7065 9420 9810 10590 12708 14130 15885 17113 19620 21180 28260 31770 34226 38477 51339 55421 63540 68452 76954 85565 102678 110842 115431 153908 154017 166263 171130 192385 205356 221684 230862 256695 277105 308034 332526 342260 346293 384770 461724 498789 513390 554210 577155 616068 665052 692586 769540 770085 831315 997578 1026780 1108420 1154310 1385172 1540170 1662630 1731465 1995156 2308620 2493945 3080340 3325260 3462930 4987890 6040889 6925860 9975780 12081778 18122667 24163556 30204445 36245334 54368001 60408890 72490668 90613335 108736002 120817780 181226670 217472004 271840005 362453340 543680010 1087360020