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258158340 = 22355112439
BaseRepresentation
bin11110110001100…
…10111100000100
3122222202210200000
433120302330010
51012042031330
641341121300
76253211136
oct1730627404
9588683600
10258158340
111227a6200
1272559230
134163ac1b
1426401056
15179e6560
hexf632f04

258158340 has 216 divisors, whose sum is σ = 894653760. Its totient is φ = 62441280.

The previous prime is 258158321. The next prime is 258158347. The reversal of 258158340 is 43851852.

It is a happy number.

258158340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258158295 and 258158304.

It is not an unprimeable number, because it can be changed into a prime (258158347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 587841 + ... + 588279.

Almost surely, 2258158340 is an apocalyptic number.

258158340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258158340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447326880).

258158340 is an abundant number, since it is smaller than the sum of its proper divisors (636495420).

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

258158340 is a wasteful number, since it uses less digits than its factorization.

258158340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258158340 is about 16067.3065571053. The cubic root of 258158340 is about 636.7398829693.

The spelling of 258158340 in words is "two hundred fifty-eight million, one hundred fifty-eight thousand, three hundred forty".