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465324020 = 225714922307
BaseRepresentation
bin11011101111000…
…100011111110100
31012102120220112222
4123233010133310
51423110332040
6114101301512
714350121540
oct3357043764
91172526488
10465324020
11219732907
1210ba04898
1375533975
1445b2aa20
152acb8bb5
hex1bbc47f4

465324020 has 48 divisors (see below), whose sum is σ = 1124323200. Its totient is φ = 158461824.

The previous prime is 465324019. The next prime is 465324049. The reversal of 465324020 is 20423564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9707 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 2465324020 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 465324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562161600).

465324020 is an abundant number, since it is smaller than the sum of its proper divisors (658999180).

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

465324020 is a wasteful number, since it uses less digits than its factorization.

465324020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22472 (or 22470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 465324020 is about 21571.3703783510. The cubic root of 465324020 is about 774.9109963693.

Adding to 465324020 its reverse (20423564), we get a palindrome (485747584).

The spelling of 465324020 in words is "four hundred sixty-five million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 745 1043 1490 2086 2980 4172 5215 10430 20860 22307 44614 89228 111535 156149 223070 312298 446140 624596 780745 1561490 3122980 3323743 6647486 13294972 16618715 23266201 33237430 46532402 66474860 93064804 116331005 232662010 465324020