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1054220020 = 225718141603
BaseRepresentation
bin111110110101100…
…001111011110100
32201110200220222221
4332311201323310
54124340020040
6252335332124
735060502520
oct7665417364
92643626887
101054220020
114a1097117
12255081044
1313a542339
14a0022d80
156284174a
hex3ed61ef4

1054220020 has 48 divisors (see below), whose sum is σ = 2544167808. Its totient is φ = 359441280.

The previous prime is 1054220017. The next prime is 1054220047. The reversal of 1054220020 is 200224501.

It is a super-2 number, since 2×10542200202 = 2222759701137600800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054219976 and 1054220003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4539 + ... + 46141.

It is an arithmetic number, because the mean of its divisors is an integer number (53003496).

Almost surely, 21054220020 is an apocalyptic number.

1054220020 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 1054220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272083904).

1054220020 is an abundant number, since it is smaller than the sum of its proper divisors (1489947788).

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

1054220020 is a wasteful number, since it uses less digits than its factorization.

1054220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41800 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1054220020 is about 32468.7545187677. The cubic root of 1054220020 is about 1017.7561915890.

Adding to 1054220020 its reverse (200224501), we get a palindrome (1254444521).

The spelling of 1054220020 in words is "one billion, fifty-four million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 41603 83206 166412 208015 291221 416030 582442 832060 1164884 1456105 2912210 5824420 7530143 15060286 30120572 37650715 52711001 75301430 105422002 150602860 210844004 263555005 527110010 1054220020