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1024212020 = 225133939277
BaseRepresentation
bin111101000011000…
…011110000110100
32122101020100202112
4331003003300310
54044144241040
6245344230152
734244441606
oct7503036064
92571210675
101024212020
11486160717
1224700b358
13134266820
149a051176
155edb5365
hex3d0c3c34

1024212020 has 24 divisors (see below), whose sum is σ = 2316295464. Its totient is φ = 378170496.

The previous prime is 1024212019. The next prime is 1024212041. The reversal of 1024212020 is 202124201.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 1023616036 = 772^2 + 31994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1024211986 and 1024212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1969379 + ... + 1969898.

It is an arithmetic number, because the mean of its divisors is an integer number (96512311).

Almost surely, 21024212020 is an apocalyptic number.

1024212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024212020 is an abundant number, since it is smaller than the sum of its proper divisors (1292083444).

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

1024212020 is a wasteful number, since it uses less digits than its factorization.

1024212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939299 (or 3939297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1024212020 is about 32003.3126410376. The cubic root of 1024212020 is about 1008.0063998187.

Adding to 1024212020 its reverse (202124201), we get a palindrome (1226336221).

The spelling of 1024212020 in words is "one billion, twenty-four million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3939277 7878554 15757108 19696385 39392770 51210601 78785540 102421202 204842404 256053005 512106010 1024212020