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1020016420 = 225232976463
BaseRepresentation
bin111100110011000…
…011011100100100
32122002100012110221
4330303003130210
54042111011140
6245114254124
734163665543
oct7463033444
92562305427
101020016420
11483855485
12245727344
13133427c17
149967c15a
155e83714a
hex3ccc3724

1020016420 has 48 divisors (see below), whose sum is σ = 2312271360. Its totient is φ = 376804736.

The previous prime is 1020016363. The next prime is 1020016423. The reversal of 1020016420 is 246100201.

1020016420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10200164203 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020016394 and 1020016403.

It is not an unprimeable number, because it can be changed into a prime (1020016423) 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, 24892 + ... + 51571.

It is an arithmetic number, because the mean of its divisors is an integer number (48172320).

Almost surely, 21020016420 is an apocalyptic number.

1020016420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020016420 is an abundant number, since it is smaller than the sum of its proper divisors (1292254940).

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

1020016420 is a wasteful number, since it uses less digits than its factorization.

1020016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76524 (or 76522 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1020016420 is about 31937.6959093796. The cubic root of 1020016420 is about 1006.6281110817.

Adding to 1020016420 its reverse (246100201), we get a palindrome (1266116621).

The spelling of 1020016420 in words is "one billion, twenty million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 76463 152926 305852 382315 764630 1529260 1758649 2217427 3517298 4434854 7034596 8793245 8869708 11087135 17586490 22174270 35172980 44348540 51000821 102001642 204003284 255004105 510008210 1020016420