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630128142 = 232725912109
BaseRepresentation
bin100101100011101…
…111111000001110
31121220200211022100
4211203233320032
52242303100032
6142305455530
721421000200
oct4543577016
91556624270
10630128142
112a3766666
121570415a6
13a0716cb7
145d98a770
153a4be97c
hex258efe0e

630128142 has 72 divisors (see below), whose sum is σ = 1615231800. Its totient is φ = 176970528.

The previous prime is 630128131. The next prime is 630128143. The reversal of 630128142 is 241821036.

630128142 is a `hidden beast` number, since 630 + 1 + 28 + 1 + 4 + 2 = 666.

It is a super-2 number, since 2×6301281422 = 794122950680744328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630128143) 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 35 ways as a sum of consecutive naturals, for example, 45984 + ... + 58092.

It is an arithmetic number, because the mean of its divisors is an integer number (22433775).

Almost surely, 2630128142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630128142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807615900).

630128142 is an abundant number, since it is smaller than the sum of its proper divisors (985103658).

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

630128142 is a wasteful number, since it uses less digits than its factorization.

630128142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 630128142 is about 25102.3533159742. The cubic root of 630128142 is about 857.3200066471.

Adding to 630128142 its reverse (241821036), we get a palindrome (871949178).

It can be divided in two parts, 6301 and 28142, that added together give a palindrome (34443).

The spelling of 630128142 in words is "six hundred thirty million, one hundred twenty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 1062 1239 2478 2891 3717 5782 7434 8673 12109 17346 24218 26019 36327 52038 72654 84763 108981 169526 217962 254289 508578 593341 714431 762867 1186682 1428862 1525734 1780023 2143293 3560046 4286586 5001017 5340069 6429879 10002034 10680138 12859758 15003051 30006102 35007119 45009153 70014238 90018306 105021357 210042714 315064071 630128142