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1053535120 = 245111197199
BaseRepresentation
bin111110110010111…
…010101110010000
32201102102010111021
4332302322232100
54124201110440
6252312525224
735051620651
oct7662725620
92642363437
101053535120
114a0769590
122549b0814
1313a362681
149dcc5528
156275884a
hex3ecbab90

1053535120 has 40 divisors (see below), whose sum is σ = 2672150400. Its totient is φ = 383103360.

The previous prime is 1053535111. The next prime is 1053535157. The reversal of 1053535120 is 215353501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10535351202 = 2219872498146828800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 597720 + ... + 599479.

It is an arithmetic number, because the mean of its divisors is an integer number (66803760).

Almost surely, 21053535120 is an apocalyptic number.

1053535120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053535120 is an abundant number, since it is smaller than the sum of its proper divisors (1618615280).

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

1053535120 is a wasteful number, since it uses less digits than its factorization.

1053535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197223 (or 1197217 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1053535120 is about 32458.2057421540. The cubic root of 1053535120 is about 1017.5357403830.

Adding to 1053535120 its reverse (215353501), we get a palindrome (1268888621).

The spelling of 1053535120 in words is "one billion, fifty-three million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1197199 2394398 4788796 5985995 9577592 11971990 13169189 19155184 23943980 26338378 47887960 52676756 65845945 95775920 105353512 131691890 210707024 263383780 526767560 1053535120