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253080399 = 311131961509
BaseRepresentation
bin11110001010110…
…11001101001111
3122122012211001010
433011123031033
51004242033044
641040220303
76162101505
oct1705331517
9578184033
10253080399
1111a948060
127090a693
1340580820
142587c675
1517341bb9
hexf15b34f

253080399 has 64 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 131673600.

The previous prime is 253080367. The next prime is 253080433. The reversal of 253080399 is 993080352.

It is not a de Polignac number, because 253080399 - 25 = 253080367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253080319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 496957 + ... + 497465.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2253080399 is an apocalyptic number.

253080399 is a deficient number, since it is larger than the sum of its proper divisors (171892401).

253080399 is a wasteful number, since it uses less digits than its factorization.

253080399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 253080399 is about 15908.5008407455. The cubic root of 253080399 is about 632.5373432726.

The spelling of 253080399 in words is "two hundred fifty-three million, eighty thousand, three hundred ninety-nine".

Divisors: 1 3 11 13 19 33 39 57 61 143 183 209 247 429 509 627 671 741 793 1159 1527 2013 2379 2717 3477 5599 6617 8151 8723 9671 12749 15067 16797 19851 26169 29013 31049 38247 45201 72787 93147 106381 125723 165737 218361 319143 341539 377169 403637 497211 589931 1024617 1210911 1382953 1769793 4148859 4440007 6489241 7669103 13320021 19467723 23007309 84360133 253080399