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1235205020 = 22578822893
BaseRepresentation
bin100100110011111…
…1011101110011100
310012002020220202002
41021213323232130
510012203030040
6322322421432
742416032550
oct11147735634
93162226662
101235205020
115842718a5
122a5801878
13168b9c65a
14ba095860
1573691a15
hex499fbb9c

1235205020 has 24 divisors (see below), whose sum is σ = 2964492384. Its totient is φ = 423498816.

The previous prime is 1235205019. The next prime is 1235205047. The reversal of 1235205020 is 205025321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1235204983 and 1235205001.

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 7 ways as a sum of consecutive naturals, for example, 4411307 + ... + 4411586.

It is an arithmetic number, because the mean of its divisors is an integer number (123520516).

Almost surely, 21235205020 is an apocalyptic number.

1235205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1235205020 is an abundant number, since it is smaller than the sum of its proper divisors (1729287364).

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

1235205020 is a wasteful number, since it uses less digits than its factorization.

1235205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822909 (or 8822907 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1235205020 is about 35145.4836358813. The cubic root of 1235205020 is about 1072.9504905808.

The spelling of 1235205020 in words is "one billion, two hundred thirty-five million, two hundred five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 8822893 17645786 35291572 44114465 61760251 88228930 123520502 176457860 247041004 308801255 617602510 1235205020