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258542130 = 235721159271
BaseRepresentation
bin11110110100100…
…00101000110010
3200000111022010110
433122100220302
51012141322010
641353242150
76256400100
oct1732205062
9600438113
10258542130
11122a38590
1272703356
1341743812
14264a0c70
1517a70120
hexf690a32

258542130 has 192 divisors, whose sum is σ = 803727360. Its totient is φ = 52617600.

The previous prime is 258542117. The next prime is 258542173. The reversal of 258542130 is 31245852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 953895 + ... + 954165.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 2258542130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

258542130 is an abundant number, since it is smaller than the sum of its proper divisors (545185230).

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

258542130 is a wasteful number, since it uses less digits than its factorization.

258542130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 258542130 is about 16079.2453181112. The cubic root of 258542130 is about 637.0552622829.

Adding to 258542130 its reverse (31245852), we get a palindrome (289787982).

The spelling of 258542130 in words is "two hundred fifty-eight million, five hundred forty-two thousand, one hundred thirty".