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1020320020 = 225232518837
BaseRepresentation
bin111100110100001…
…101100100010100
32122002220121221101
4330310031210110
54042200220040
6245124555444
734166401636
oct7464154424
92562817841
101020320020
11483a42595
12245852b84
13133503175
149971aa56
155e89709a
hex3cd0d914

1020320020 has 48 divisors (see below), whose sum is σ = 2244993408. Its totient is φ = 388784000.

The previous prime is 1020319999. The next prime is 1020320027. The reversal of 1020320020 is 200230201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020319979 and 1020320006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020320027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111042 + ... + 119878.

It is an arithmetic number, because the mean of its divisors is an integer number (46770696).

Almost surely, 21020320020 is an apocalyptic number.

1020320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122496704).

1020320020 is an abundant number, since it is smaller than the sum of its proper divisors (1224673388).

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

1020320020 is a wasteful number, since it uses less digits than its factorization.

1020320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1020320020 is about 31942.4485598709. The cubic root of 1020320020 is about 1006.7279728658.

Adding to 1020320020 its reverse (200230201), we get a palindrome (1220550221).

The spelling of 1020320020 in words is "one billion, twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 251 460 502 1004 1255 2510 5020 5773 8837 11546 17674 23092 28865 35348 44185 57730 88370 115460 176740 203251 406502 813004 1016255 2032510 2218087 4065020 4436174 8872348 11090435 22180870 44361740 51016001 102032002 204064004 255080005 510160010 1020320020