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465060 = 223523337
BaseRepresentation
bin1110001100010100100
3212121221110
41301202210
5104340220
613545020
73644601
oct1614244
9777843
10465060
11298452
121a5170
131338ab
14c16a8
1592be0
hex718a4

465060 has 48 divisors (see below), whose sum is σ = 1362816. Its totient is φ = 118272.

The previous prime is 465041. The next prime is 465061. The reversal of 465060 is 60564.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (465061) by changing a digit.

465060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2465060 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 465060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408).

465060 is an abundant number, since it is smaller than the sum of its proper divisors (897756).

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

465060 is a wasteful number, since it uses less digits than its factorization.

465060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 465060 is about 681.9530775647. The cubic root of 465060 is about 77.4764409834.

Subtracting from 465060 its reverse (60564), we obtain a square (404496 = 6362).

The spelling of 465060 in words is "four hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 337 345 460 674 690 1011 1348 1380 1685 2022 3370 4044 5055 6740 7751 10110 15502 20220 23253 31004 38755 46506 77510 93012 116265 155020 232530 465060