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1086823089 = 38112372
BaseRepresentation
bin100000011000111…
…1001101010110001
32210202001100000000
41000301321222301
54211211314324
6255502220213
735634562302
oct10061715261
92722040000
101086823089
11508535300
12263b84669
131442190b1
14a44ac7a9
15656319c9
hex40c79ab1

1086823089 has 81 divisors (see below), whose sum is σ = 1841556171. Its totient is φ = 640878480.

The previous prime is 1086823063. The next prime is 1086823091. The reversal of 1086823089 is 9803286801.

The square root of 1086823089 is 32967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 972504225 + 114318864 = 31185^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1086823089 - 29 = 1086822577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1086828089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29373579 + ... + 29373615.

Almost surely, 21086823089 is an apocalyptic number.

1086823089 is the 32967-th square number.

1086823089 is the 16484-th centered octagonal number.

It is an amenable number.

1086823089 is a deficient number, since it is larger than the sum of its proper divisors (754733082).

1086823089 is an frugal number, since it uses more digits than its factorization.

1086823089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The cubic root of 1086823089 is about 1028.1416483466.

The spelling of 1086823089 in words is "one billion, eighty-six million, eight hundred twenty-three thousand, eighty-nine".

Divisors: 1 3 9 11 27 33 37 81 99 111 121 243 297 333 363 407 729 891 999 1089 1221 1369 2187 2673 2997 3267 3663 4107 4477 6561 8019 8991 9801 10989 12321 13431 15059 24057 26973 29403 32967 36963 40293 45177 72171 80919 88209 98901 110889 120879 135531 165649 242757 264627 296703 332667 362637 406593 496947 793881 890109 998001 1087911 1219779 1490841 2670327 2994003 3263733 3659337 4472523 8982009 9791199 10978011 13417569 29373597 32934033 40252707 98802099 120758121 362274363 1086823089