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460242 = 235947
BaseRepresentation
bin1110000010111010010
3212101100000
41300113102
5104211432
613510430
73624546
oct1602722
9771300
10460242
11294872
121a2416
13131643
14bda26
159157c
hex705d2

460242 has 24 divisors (see below), whose sum is σ = 1035216. Its totient is φ = 153252.

The previous prime is 460231. The next prime is 460247. The reversal of 460242 is 242064.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (460247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

2460242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517608).

460242 is an abundant number, since it is smaller than the sum of its proper divisors (574974).

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

460242 is an equidigital number, since it uses as much as digits as its factorization.

460242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 460242 is about 678.4113796215. The cubic root of 460242 is about 77.2079609140.

The spelling of 460242 in words is "four hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 947 1894 2841 5682 8523 17046 25569 51138 76707 153414 230121 460242