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1020051540 = 223255666953
BaseRepresentation
bin111100110011001…
…100000001010100
32122002101222122200
4330303030001110
54042113122130
6245115124500
734164203124
oct7463140124
92562358580
101020051540
11483879902
12245743730
1313343abc1
149968ac84
155e842760
hex3cccc054

1020051540 has 36 divisors (see below), whose sum is σ = 3094156884. Its totient is φ = 272013696.

The previous prime is 1020051523. The next prime is 1020051553. The reversal of 1020051540 is 451500201.

It can be written as a sum of positive squares in 2 ways, for example, as 245987856 + 774063684 = 15684^2 + 27822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2833297 + ... + 2833656.

Almost surely, 21020051540 is an apocalyptic number.

1020051540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020051540 is an abundant number, since it is smaller than the sum of its proper divisors (2074105344).

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

1020051540 is a wasteful number, since it uses less digits than its factorization.

1020051540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666968 (or 5666963 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1020051540 is about 31938.2457251490. The cubic root of 1020051540 is about 1006.6396639590.

Adding to 1020051540 its reverse (451500201), we get a palindrome (1471551741).

The spelling of 1020051540 in words is "one billion, twenty million, fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5666953 11333906 17000859 22667812 28334765 34001718 51002577 56669530 68003436 85004295 102005154 113339060 170008590 204010308 255012885 340017180 510025770 1020051540