Search a number
-
+
1020623130 = 232511340257
BaseRepresentation
bin111100110101010…
…111100100011010
32122010111000201200
4330311113210122
54042234420010
6245135255030
734202103432
oct7465274432
92563430650
101020623130
1148412a29a
1224597a476
131335ab117
14997992c2
155e906cc0
hex3cd5791a

1020623130 has 24 divisors (see below), whose sum is σ = 2653620372. Its totient is φ = 272166144.

The previous prime is 1020623117. The next prime is 1020623159. The reversal of 1020623130 is 313260201.

1020623130 is a `hidden beast` number, since 10 + 2 + 0 + 623 + 1 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1020610809 + 12321 = 31947^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 5670039 + ... + 5670218.

Almost surely, 21020623130 is an apocalyptic number.

1020623130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020623130 is an abundant number, since it is smaller than the sum of its proper divisors (1632997242).

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

1020623130 is a wasteful number, since it uses less digits than its factorization.

1020623130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11340270 (or 11340267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1020623130 is about 31947.1928344260. The cubic root of 1020623130 is about 1006.8276537168.

Adding to 1020623130 its reverse (313260201), we get a palindrome (1333883331).

The spelling of 1020623130 in words is "one billion, twenty million, six hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11340257 22680514 34020771 56701285 68041542 102062313 113402570 170103855 204124626 340207710 510311565 1020623130