Search a number
-
+
634200060 = 2235136771201
BaseRepresentation
bin100101110011010…
…001111111111100
31122012100200221010
4211303101333330
52244323400220
6142533035220
721500416524
oct4563217774
91565320833
10634200060
112a5a9798a
12158485b10
13a1511510
146032a684
153aa261e0
hex25cd1ffc

634200060 has 96 divisors (see below), whose sum is σ = 1916776512. Its totient is φ = 155750400.

The previous prime is 634200059. The next prime is 634200089. The reversal of 634200060 is 60002436.

It is a super-2 number, since 2×6342000602 = 804419432208007200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527460 + ... + 528660.

It is an arithmetic number, because the mean of its divisors is an integer number (19966422).

Almost surely, 2634200060 is an apocalyptic number.

634200060 is a gapful number since it is divisible by the number (60) 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 634200060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958388256).

634200060 is an abundant number, since it is smaller than the sum of its proper divisors (1282576452).

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

634200060 is a wasteful number, since it uses less digits than its factorization.

634200060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 634200060 is about 25183.3290094856. The cubic root of 634200060 is about 859.1627239619.

Adding to 634200060 its reverse (60002436), we get a palindrome (694202496).

The spelling of 634200060 in words is "six hundred thirty-four million, two hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 677 780 1201 1354 2031 2402 2708 3385 3603 4062 4804 6005 6770 7206 8124 8801 10155 12010 13540 14412 15613 17602 18015 20310 24020 26403 31226 35204 36030 40620 44005 46839 52806 62452 72060 78065 88010 93678 105612 132015 156130 176020 187356 234195 264030 312260 468390 528060 813077 936780 1626154 2439231 3252308 4065385 4878462 8130770 9756924 10570001 12196155 16261540 21140002 24392310 31710003 42280004 48784620 52850005 63420006 105700010 126840012 158550015 211400020 317100030 634200060