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468300260 = 225312572939
BaseRepresentation
bin11011111010011…
…011000111100100
31012122012010012002
4123322123013210
51424341102020
6114245144432
714414325611
oct3372330744
91178163162
10468300260
11220385a0a
121109bb118
137603655c
14462a3508
152b1a5975
hex1be9b1e4

468300260 has 48 divisors (see below), whose sum is σ = 1019450880. Its totient is φ = 180510720.

The previous prime is 468300251. The next prime is 468300281. The reversal of 468300260 is 62003864.

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, 157871 + ... + 160809.

It is an arithmetic number, because the mean of its divisors is an integer number (21238560).

Almost surely, 2468300260 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 468300260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509725440).

468300260 is an abundant number, since it is smaller than the sum of its proper divisors (551150620).

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

468300260 is a wasteful number, since it uses less digits than its factorization.

468300260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 468300260 is about 21640.2463017407. The cubic root of 468300260 is about 776.5596120155.

The spelling of 468300260 in words is "four hundred sixty-eight million, three hundred thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 257 310 514 620 1028 1285 2570 2939 5140 5878 7967 11756 14695 15934 29390 31868 39835 58780 79670 91109 159340 182218 364436 455545 755323 911090 1510646 1822180 3021292 3776615 7553230 15106460 23415013 46830026 93660052 117075065 234150130 468300260