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259103412 = 223235320389
BaseRepresentation
bin11110111000110…
…01101010110100
3200001112211001200
433130121222310
51012312302122
641413252500
76264225351
oct1734315264
9601484050
10259103412
11123291257
1272934130
13418ac139
14265a9628
1517b315ac
hexf719ab4

259103412 has 36 divisors (see below), whose sum is σ = 656843460. Its totient is φ = 86118912.

The previous prime is 259103381. The next prime is 259103431. The reversal of 259103412 is 214301952.

It can be written as a sum of positive squares in 2 ways, for example, as 189447696 + 69655716 = 13764^2 + 8346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2591034122 = 134269156220083488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2514 + ... + 22902.

Almost surely, 2259103412 is an apocalyptic number.

It is an amenable number.

259103412 is an abundant number, since it is smaller than the sum of its proper divisors (397740048).

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

259103412 is a wasteful number, since it uses less digits than its factorization.

259103412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20752 (or 20747 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 259103412 is about 16096.6894733048. The cubic root of 259103412 is about 637.5159340885.

The spelling of 259103412 in words is "two hundred fifty-nine million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 12708 20389 40778 61167 81556 122334 183501 244668 367002 734004 7197317 14394634 21591951 28789268 43183902 64775853 86367804 129551706 259103412