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1353453520 = 24516918169
BaseRepresentation
bin101000010101100…
…0000111111010000
310111022202120012011
41100223000333100
510232441003040
6342145112304
745353110426
oct12053007720
93438676164
101353453520
11634a97731
12319328694
13187532293
14cba77116
157dc4d3ea
hex50ac0fd0

1353453520 has 20 divisors (see below), whose sum is σ = 3146779620. Its totient is φ = 541381376.

The previous prime is 1353453503. The next prime is 1353453523. The reversal of 1353453520 is 253543531.

It can be written as a sum of positive squares in 2 ways, for example, as 166513216 + 1186940304 = 12904^2 + 34452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353453523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8459005 + ... + 8459164.

It is an arithmetic number, because the mean of its divisors is an integer number (157338981).

Almost surely, 21353453520 is an apocalyptic number.

1353453520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353453520 is an abundant number, since it is smaller than the sum of its proper divisors (1793326100).

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

1353453520 is a wasteful number, since it uses less digits than its factorization.

1353453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16918182 (or 16918176 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 1353453520 is about 36789.3125785193. The cubic root of 1353453520 is about 1106.1510823914.

The spelling of 1353453520 in words is "one billion, three hundred fifty-three million, four hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16918169 33836338 67672676 84590845 135345352 169181690 270690704 338363380 676726760 1353453520