Search a number
-
+
1068102090 = 232511298081
BaseRepresentation
bin111111101010011…
…111000111001010
32202102211012121200
4333222133013022
54141413231330
6253553045030
735316501156
oct7752370712
92672735550
101068102090
114a8a08a00
12259856776
13140392b93
14a1bd8066
1563b84a60
hex3fa9f1ca

1068102090 has 72 divisors (see below), whose sum is σ = 3052508004. Its totient is φ = 258931200.

The previous prime is 1068102073. The next prime is 1068102097. The reversal of 1068102090 is 902018601.

It can be written as a sum of positive squares in 2 ways, for example, as 927750681 + 140351409 = 30459^2 + 11847^2 .

It is a super-2 number, since 2×10681020902 = 2281684149324736200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068102097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38151 + ... + 59930.

Almost surely, 21068102090 is an apocalyptic number.

1068102090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1068102090 is an abundant number, since it is smaller than the sum of its proper divisors (1984405914).

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

1068102090 is a wasteful number, since it uses less digits than its factorization.

1068102090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98116 (or 98102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1068102090 is about 32681.8311910456. The cubic root of 1068102090 is about 1022.2040287711.

It can be divided in two parts, 106810 and 2090, that added together give a square (108900 = 3302).

The spelling of 1068102090 in words is "one billion, sixty-eight million, one hundred two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 98081 196162 294243 490405 588486 882729 980810 1078891 1471215 1765458 2157782 2942430 3236673 4413645 5394455 6473346 8827290 9710019 10788910 11867801 16183365 19420038 23735602 32366730 35603403 48550095 59339005 71206806 97100190 106810209 118678010 178017015 213620418 356034030 534051045 1068102090