Search a number
-
+
1018416690 = 232511315741
BaseRepresentation
bin111100101100111…
…100111000110010
32121222022221001200
4330230330320302
54041203313230
6245020112030
734144253604
oct7454747062
92558287050
101018416690
11482962595
12245095616
13132cb7a35
1499383174
155e61d160
hex3cb3ce32

1018416690 has 24 divisors (see below), whose sum is σ = 2647883628. Its totient is φ = 271577760.

The previous prime is 1018416689. The next prime is 1018416697. The reversal of 1018416690 is 966148101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1017546201 + 870489 = 31899^2 + 933^2 .

It is a super-2 number, since 2×10184166902 = 2074345108941112200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1018416697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5657781 + ... + 5657960.

Almost surely, 21018416690 is an apocalyptic number.

1018416690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1018416690 is an abundant number, since it is smaller than the sum of its proper divisors (1629466938).

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

1018416690 is a wasteful number, since it uses less digits than its factorization.

1018416690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315754 (or 11315751 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1018416690 is about 31912.6415390516. The cubic root of 1018416690 is about 1006.1015915279.

The spelling of 1018416690 in words is "one billion, eighteen million, four hundred sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11315741 22631482 33947223 56578705 67894446 101841669 113157410 169736115 203683338 339472230 509208345 1018416690