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258070071 = 3731596719
BaseRepresentation
bin11110110000111…
…01011000110111
3122222121022120210
433120131120313
51012031220241
641335200503
76252362610
oct1730353067
9588538523
10258070071
11122745956
1272516133
13416099ac
14263bac07
15179ca316
hexf61d637

258070071 has 32 divisors (see below), whose sum is σ = 412876800. Its totient is φ = 140271840.

The previous prime is 258070067. The next prime is 258070117. The reversal of 258070071 is 170070852.

It is a happy number.

It is not a de Polignac number, because 258070071 - 22 = 258070067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258080071) 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 31 ways as a sum of consecutive naturals, for example, 35050 + ... + 41768.

It is an arithmetic number, because the mean of its divisors is an integer number (12902400).

Almost surely, 2258070071 is an apocalyptic number.

258070071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

258070071 is a deficient number, since it is larger than the sum of its proper divisors (154806729).

258070071 is a wasteful number, since it uses less digits than its factorization.

258070071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 258070071 is about 16064.5594710842. The cubic root of 258070071 is about 636.6673037404.

The spelling of 258070071 in words is "two hundred fifty-eight million, seventy thousand, seventy-one".

Divisors: 1 3 7 21 31 59 93 177 217 413 651 1239 1829 5487 6719 12803 20157 38409 47033 141099 208289 396421 624867 1189263 1458023 2774947 4374069 8324841 12289051 36867153 86023357 258070071