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1020744424 = 23780922531
BaseRepresentation
bin111100110101110…
…101001011101000
32122010201012010001
4330311311023220
54042302310144
6245142032344
734203120160
oct7465651350
92563635101
101020744424
11484202437
12245a186b4
131336213ab
14997cb5a0
155e92cbd4
hex3cd752e8

1020744424 has 32 divisors (see below), whose sum is σ = 2190110400. Its totient is φ = 436901760.

The previous prime is 1020744421. The next prime is 1020744433. The reversal of 1020744424 is 4244470201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1020744392 and 1020744401.

It is not an unprimeable number, because it can be changed into a prime (1020744421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34039 + ... + 56569.

It is an arithmetic number, because the mean of its divisors is an integer number (68440950).

Almost surely, 21020744424 is an apocalyptic number.

1020744424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020744424 is an abundant number, since it is smaller than the sum of its proper divisors (1169365976).

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

1020744424 is a wasteful number, since it uses less digits than its factorization.

1020744424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23353 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 1020744424 is about 31949.0911294829. The cubic root of 1020744424 is about 1006.8675369713.

The spelling of 1020744424 in words is "one billion, twenty million, seven hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 809 1618 3236 5663 6472 11326 22531 22652 45062 45304 90124 157717 180248 315434 630868 1261736 18227579 36455158 72910316 127593053 145820632 255186106 510372212 1020744424