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1053075320 = 2351119712149
BaseRepresentation
bin111110110001001…
…010011101111000
32201101112202202122
4332301022131320
54124041402240
6252255020412
735044664303
oct7661123570
92641482678
101053075320
114a0485090
1225480a708
1313a2312bb
149dc05b3a
15626b74b5
hex3ec4a778

1053075320 has 64 divisors (see below), whose sum is σ = 2598156000. Its totient is φ = 380961280.

The previous prime is 1053075277. The next prime is 1053075341. The reversal of 1053075320 is 235703501.

It is a super-3 number, since 3×10530753203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1053075320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 80606 + ... + 92754.

Almost surely, 21053075320 is an apocalyptic number.

1053075320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053075320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299078000).

1053075320 is an abundant number, since it is smaller than the sum of its proper divisors (1545080680).

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

1053075320 is a wasteful number, since it uses less digits than its factorization.

1053075320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12368 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 1053075320 is about 32451.1220145005. The cubic root of 1053075320 is about 1017.3876893103.

Adding to 1053075320 its reverse (235703501), we get a palindrome (1288778821).

The spelling of 1053075320 in words is "one billion, fifty-three million, seventy-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1576 1970 2167 3940 4334 7880 8668 10835 12149 17336 21670 24298 43340 48596 60745 86680 97192 121490 133639 242980 267278 485960 534556 668195 1069112 1336390 2393353 2672780 4786706 5345560 9573412 11966765 19146824 23933530 26326883 47867060 52653766 95734120 105307532 131634415 210615064 263268830 526537660 1053075320