Search a number
-
+
259340631 = 31124211697
BaseRepresentation
bin11110111010100…
…11100101010111
3200001222212110120
433131103211113
51012342400011
641422323023
76266234064
oct1735234527
9601885416
10259340631
11123433500
1272a29473
13419630c4
142662bc6b
1517b7ba06
hexf753957

259340631 has 24 divisors (see below), whose sum is σ = 381207792. Its totient is φ = 156710400.

The previous prime is 259340623. The next prime is 259340639. The reversal of 259340631 is 136043952.

It is an interprime number because it is at equal distance from previous prime (259340623) and next prime (259340639).

It is not a de Polignac number, because 259340631 - 23 = 259340623 is a prime.

It is a super-2 number, since 2×2593406312 = 134515125774956322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 259340592 and 259340601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259340639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151975 + ... + 153671.

It is an arithmetic number, because the mean of its divisors is an integer number (15883658).

Almost surely, 2259340631 is an apocalyptic number.

259340631 is a deficient number, since it is larger than the sum of its proper divisors (121867161).

259340631 is a wasteful number, since it uses less digits than its factorization.

259340631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 259340631 is about 16104.0563523604. The cubic root of 259340631 is about 637.7104314156.

The spelling of 259340631 in words is "two hundred fifty-nine million, three hundred forty thousand, six hundred thirty-one".

Divisors: 1 3 11 33 121 363 421 1263 1697 4631 5091 13893 18667 50941 56001 152823 205337 616011 714437 2143311 7858807 23576421 86446877 259340631