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259742420 = 22571855303
BaseRepresentation
bin11110111101101…
…01101011010100
3200002202021121122
433132311223110
51012443224140
641435103112
76302526350
oct1736655324
9602667548
10259742420
11123688363
1272ba1a98
1341a73c52
14266d4460
1517c0aab5
hexf7b5ad4

259742420 has 24 divisors (see below), whose sum is σ = 623382144. Its totient is φ = 89054496.

The previous prime is 259742383. The next prime is 259742423. The reversal of 259742420 is 24247952.

It is a super-2 number, since 2×2597424202 = 134932249494912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259742423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927512 + ... + 927791.

It is an arithmetic number, because the mean of its divisors is an integer number (25974256).

Almost surely, 2259742420 is an apocalyptic number.

259742420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259742420 is an abundant number, since it is smaller than the sum of its proper divisors (363639724).

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

259742420 is a wasteful number, since it uses less digits than its factorization.

259742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855319 (or 1855317 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 259742420 is about 16116.5263006642. The cubic root of 259742420 is about 638.0395903145.

The spelling of 259742420 in words is "two hundred fifty-nine million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1855303 3710606 7421212 9276515 12987121 18553030 25974242 37106060 51948484 64935605 129871210 259742420