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1020420340 = 22559214657
BaseRepresentation
bin111100110100100…
…110000011110100
32122010002201112221
4330310212003310
54042211422330
6245131052124
734200300262
oct7464460364
92563081487
101020420340
114840009a5
122458a1044
13133539a24
1499745432
155e8b6b7a
hex3cd260f4

1020420340 has 36 divisors (see below), whose sum is σ = 2179967076. Its totient is φ = 401222656.

The previous prime is 1020420329. The next prime is 1020420347. The reversal of 1020420340 is 430240201.

1020420340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 788711056 + 231709284 = 28084^2 + 15222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020420347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62292 + ... + 76948.

It is an arithmetic number, because the mean of its divisors is an integer number (60554641).

Almost surely, 21020420340 is an apocalyptic number.

1020420340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020420340 is an abundant number, since it is smaller than the sum of its proper divisors (1159546736).

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

1020420340 is a wasteful number, since it uses less digits than its factorization.

1020420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1020420340 is about 31944.0188454740. The cubic root of 1020420340 is about 1006.7609663184.

Adding to 1020420340 its reverse (430240201), we get a palindrome (1450660541).

The spelling of 1020420340 in words is "one billion, twenty million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1180 3481 6962 13924 14657 17405 29314 34810 58628 69620 73285 146570 293140 864763 1729526 3459052 4323815 8647630 17295260 51021017 102042034 204084068 255105085 510210170 1020420340