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1053420520 = 235137319181
BaseRepresentation
bin111110110010011…
…110101111101000
32201102012022021211
4332302132233220
54124133424040
6252310242504
735050632565
oct7662365750
92642168254
101053420520
114a06a0479
12254956434
1313a322469
149dc9586c
15627348ea
hex3ec9ebe8

1053420520 has 32 divisors (see below), whose sum is σ = 2372046120. Its totient is φ = 421039360.

The previous prime is 1053420499. The next prime is 1053420547. The reversal of 1053420520 is 250243501.

It can be written as a sum of positive squares in 4 ways, for example, as 1053262116 + 158404 = 32454^2 + 398^2 .

It is a super-3 number, since 3×10534205203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1053420491 and 1053420500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45330 + ... + 64510.

Almost surely, 21053420520 is an apocalyptic number.

1053420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053420520 is an abundant number, since it is smaller than the sum of its proper divisors (1318625600).

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

1053420520 is a wasteful number, since it uses less digits than its factorization.

1053420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20565 (or 20561 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1053420520 is about 32456.4403470251. The cubic root of 1053420520 is about 1017.4988443422.

The spelling of 1053420520 in words is "one billion, fifty-three million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1373 2746 5492 6865 10984 13730 19181 27460 38362 54920 76724 95905 153448 191810 383620 767240 26335513 52671026 105342052 131677565 210684104 263355130 526710260 1053420520