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460568140 = 225297871009
BaseRepresentation
bin11011011100111…
…011011001001100
31012002122021201021
4123130323121030
51420401140030
6113411323524
714261523154
oct3334733114
91162567637
10460568140
11216a8472a
1210a2b05a4
137455a036
144524d764
152a67997a
hex1b73b64c

460568140 has 48 divisors (see below), whose sum is σ = 1002808800. Its totient is φ = 177472512.

The previous prime is 460568137. The next prime is 460568153. The reversal of 460568140 is 41865064.

It is a junction number, because it is equal to n+sod(n) for n = 460568096 and 460568105.

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 15 ways as a sum of consecutive naturals, for example, 455956 + ... + 456964.

It is an arithmetic number, because the mean of its divisors is an integer number (20891850).

Almost surely, 2460568140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460568140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501404400).

460568140 is an abundant number, since it is smaller than the sum of its proper divisors (542240660).

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

460568140 is a wasteful number, since it uses less digits than its factorization.

460568140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 460568140 is about 21460.8513344648. The cubic root of 460568140 is about 772.2619382833.

The spelling of 460568140 in words is "four hundred sixty million, five hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 787 1009 1574 2018 3148 3935 4036 5045 7870 10090 15740 20180 22823 29261 45646 58522 91292 114115 117044 146305 228230 292610 456460 585220 794083 1588166 3176332 3970415 7940830 15881660 23028407 46056814 92113628 115142035 230284070 460568140