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258361420 = 22520276373
BaseRepresentation
bin11110110011001…
…00100001001100
3200000011010020111
433121210201030
51012120031140
641345325404
76255015202
oct1731444114
9600133214
10258361420
11122924839
1272636864
13416ac4a5
1426455072
1517a367ea
hexf66484c

258361420 has 24 divisors (see below), whose sum is σ = 542911824. Its totient is φ = 103277376.

The previous prime is 258361361. The next prime is 258361429. The reversal of 258361420 is 24163852.

It is not an unprimeable number, because it can be changed into a prime (258361429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37354 + ... + 43726.

It is an arithmetic number, because the mean of its divisors is an integer number (22621326).

Almost surely, 2258361420 is an apocalyptic number.

258361420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258361420 is an abundant number, since it is smaller than the sum of its proper divisors (284550404).

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

258361420 is a wasteful number, since it uses less digits than its factorization.

258361420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 258361420 is about 16073.6249800722. The cubic root of 258361420 is about 636.9068028052.

The spelling of 258361420 in words is "two hundred fifty-eight million, three hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2027 4054 6373 8108 10135 12746 20270 25492 31865 40540 63730 127460 12918071 25836142 51672284 64590355 129180710 258361420