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458741130 = 23519978297
BaseRepresentation
bin11011010101111…
…101010110001010
31011222012110112020
4123111331112022
51414414204010
6113304225310
714240143461
oct3325752612
91158173466
10458741130
11215a47001
1210976b236
137406a573
1444cd59d8
152a418470
hex1b57d58a

458741130 has 64 divisors (see below), whose sum is σ = 1171013760. Its totient is φ = 114683904.

The previous prime is 458741123. The next prime is 458741147. The reversal of 458741130 is 31147854.

It is a junction number, because it is equal to n+sod(n) for n = 458741091 and 458741100.

It is an unprimeable number.

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, 51142 + ... + 59438.

It is an arithmetic number, because the mean of its divisors is an integer number (18297090).

Almost surely, 2458741130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458741130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585506880).

458741130 is an abundant number, since it is smaller than the sum of its proper divisors (712272630).

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

458741130 is a wasteful number, since it uses less digits than its factorization.

458741130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 458741130 is about 21418.2429251328. The cubic root of 458741130 is about 771.2394330058.

Adding to 458741130 its reverse (31147854), we get a palindrome (489888984).

The spelling of 458741130 in words is "four hundred fifty-eight million, seven hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 97 114 190 194 285 291 485 570 582 970 1455 1843 2910 3686 5529 8297 9215 11058 16594 18430 24891 27645 41485 49782 55290 82970 124455 157643 248910 315286 472929 788215 804809 945858 1576430 1609618 2364645 2414427 4024045 4729290 4828854 8048090 12072135 15291371 24144270 30582742 45874113 76456855 91748226 152913710 229370565 458741130