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1020197520 = 243251416941
BaseRepresentation
bin111100110011101…
…111101010010000
32122002200101220100
4330303233222100
54042132310040
6245122212400
734165351536
oct7463575220
92562611810
101020197520
11483969551
122457b4100
1313348c494
14996c8156
155e870b30
hex3ccefa90

1020197520 has 60 divisors (see below), whose sum is σ = 3426165756. Its totient is φ = 272052480.

The previous prime is 1020197501. The next prime is 1020197531. The reversal of 1020197520 is 257910201.

It can be written as a sum of positive squares in 2 ways, for example, as 795916944 + 224280576 = 28212^2 + 14976^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 707751 + ... + 709190.

Almost surely, 21020197520 is an apocalyptic number.

1020197520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020197520 is an abundant number, since it is smaller than the sum of its proper divisors (2405968236).

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

1020197520 is a wasteful number, since it uses less digits than its factorization.

1020197520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416960 (or 1416951 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1020197520 is about 31940.5309912030. The cubic root of 1020197520 is about 1006.6876818754.

The spelling of 1020197520 in words is "one billion, twenty million, one hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1416941 2833882 4250823 5667764 7084705 8501646 11335528 12752469 14169410 17003292 21254115 22671056 25504938 28338820 34006584 42508230 51009876 56677640 63762345 68013168 85016460 102019752 113355280 127524690 170032920 204039504 255049380 340065840 510098760 1020197520