Search a number
-
+
460674 = 23319449
BaseRepresentation
bin1110000011110000010
3212101221000
41300132002
5104220144
613512430
73626034
oct1603602
9771830
10460674
11295125
121a2716
131318b6
14bdc54
1591769
hex70782

460674 has 32 divisors (see below), whose sum is σ = 1080000. Its totient is φ = 145152.

The previous prime is 460673. The next prime is 460697. The reversal of 460674 is 476064.

460674 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2460674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540000).

460674 is an abundant number, since it is smaller than the sum of its proper divisors (619326).

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

460674 is a wasteful number, since it uses less digits than its factorization.

460674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 460674 is about 678.7296958289. The cubic root of 460674 is about 77.2321100999.

The spelling of 460674 in words is "four hundred sixty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 449 513 898 1026 1347 2694 4041 8082 8531 12123 17062 24246 25593 51186 76779 153558 230337 460674