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1002240020 = 22558818521
BaseRepresentation
bin111011101111001…
…111100000010100
32120211220001211202
4323233033200110
54023033140040
6243241252032
733556620365
oct7357174024
92524801752
101002240020
11474813841
1223b794018
1312c842942
1497171b6c
155cec5015
hex3bbcf814

1002240020 has 24 divisors (see below), whose sum is σ = 2105308968. Its totient is φ = 400780800.

The previous prime is 1002240011. The next prime is 1002240059. The reversal of 1002240020 is 200422001.

It can be written as a sum of positive squares in 4 ways, for example, as 227285776 + 774954244 = 15076^2 + 27838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002239983 and 1002240010.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 113360 + ... + 121880.

It is an arithmetic number, because the mean of its divisors is an integer number (87721207).

Almost surely, 21002240020 is an apocalyptic number.

1002240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002240020 is an abundant number, since it is smaller than the sum of its proper divisors (1103068948).

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

1002240020 is a wasteful number, since it uses less digits than its factorization.

1002240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14411 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1002240020 is about 31658.1746157292. The cubic root of 1002240020 is about 1000.7461165050.

Adding to 1002240020 its reverse (200422001), we get a palindrome (1202662021).

The spelling of 1002240020 in words is "one billion, two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 5881 8521 11762 17042 23524 29405 34084 42605 58810 85210 117620 170420 50112001 100224002 200448004 250560005 501120010 1002240020