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20353130 = 257273569
BaseRepresentation
bin100110110100…
…1000001101010
31102022001020122
41031221001222
520202300010
62004123242
7334666400
oct115510152
942261218
1020353130
1110541676
126996522
1342a8095
1429bb470
151bc0855
hex136906a

20353130 has 48 divisors (see below), whose sum is σ = 43276680. Its totient is φ = 6870528.

The previous prime is 20353121. The next prime is 20353153. The reversal of 20353130 is 3135302.

It can be written as a sum of positive squares in 4 ways, for example, as 13608721 + 6744409 = 3689^2 + 2597^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20353099 and 20353108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35486 + ... + 36054.

Almost surely, 220353130 is an apocalyptic number.

20353130 is an abundant number, since it is smaller than the sum of its proper divisors (22923550).

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

20353130 is a wasteful number, since it uses less digits than its factorization.

20353130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 20353130 is about 4511.4443363517. Note that the first 3 decimals coincide. The cubic root of 20353130 is about 273.0300208055.

Adding to 20353130 its reverse (3135302), we get a palindrome (23488432).

The spelling of 20353130 in words is "twenty million, three hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 569 730 1022 1138 2555 2845 3577 3983 5110 5690 7154 7966 17885 19915 27881 35770 39830 41537 55762 83074 139405 207685 278810 290759 415370 581518 1453795 2035313 2907590 4070626 10176565 20353130