Search a number
-
+
1009557620 = 225101499781
BaseRepresentation
bin111100001011001…
…010000001110100
32121100122211200222
4330023022001310
54031421320440
6244102153512
734006045451
oct7413120164
92540584628
101009557620
11478961645
12242122898
13131205596
1498118828
155d96d2b5
hex3c2ca074

1009557620 has 24 divisors (see below), whose sum is σ = 2141066088. Its totient is φ = 399824000.

The previous prime is 1009557587. The next prime is 1009557629. The reversal of 1009557620 is 267559001.

It can be written as a sum of positive squares in 4 ways, for example, as 342472036 + 667085584 = 18506^2 + 25828^2 .

It is a super-3 number, since 3×10095576203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009557629) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 247871 + ... + 251910.

It is an arithmetic number, because the mean of its divisors is an integer number (89211087).

Almost surely, 21009557620 is an apocalyptic number.

1009557620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009557620 is an abundant number, since it is smaller than the sum of its proper divisors (1131508468).

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

1009557620 is a wasteful number, since it uses less digits than its factorization.

1009557620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499891 (or 499889 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 1009557620 is about 31773.5364729833. The cubic root of 1009557620 is about 1003.1757770967.

The spelling of 1009557620 in words is "one billion, nine million, five hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 499781 999562 1999124 2498905 4997810 9995620 50477881 100955762 201911524 252389405 504778810 1009557620