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467940 = 223511709
BaseRepresentation
bin1110010001111100100
3212202220010
41302033210
5104433230
614010220
73656154
oct1621744
9782803
10467940
1129a630
121a6970
13134cb5
14c2764
15939b0
hex723e4

467940 has 48 divisors (see below), whose sum is σ = 1431360. Its totient is φ = 113280.

The previous prime is 467927. The next prime is 467941. The reversal of 467940 is 49764.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 467898 and 467907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467941) 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, 306 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (29820).

2467940 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 467940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715680).

467940 is an abundant number, since it is smaller than the sum of its proper divisors (963420).

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

467940 is a wasteful number, since it uses less digits than its factorization.

467940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 467940 is about 684.0614007529. The cubic root of 467940 is about 77.6360427034.

The spelling of 467940 in words is "four hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 709 1418 2127 2836 3545 4254 7090 7799 8508 10635 14180 15598 21270 23397 31196 38995 42540 46794 77990 93588 116985 155980 233970 467940