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468780 = 223513601
BaseRepresentation
bin1110010011100101100
3212211001020
41302130230
5110000110
614014140
73661464
oct1623454
9784036
10468780
112a0224
121a7350
131354b0
14c2ba4
1593d70
hex7272c

468780 has 48 divisors (see below), whose sum is σ = 1415904. Its totient is φ = 115200.

The previous prime is 468773. The next prime is 468781. The reversal of 468780 is 87864.

468780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (468781) 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, 480 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (29498).

2468780 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 468780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707952).

468780 is an abundant number, since it is smaller than the sum of its proper divisors (947124).

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

468780 is a wasteful number, since it uses less digits than its factorization.

468780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 468780 is about 684.6751054332. The cubic root of 468780 is about 77.6824698042.

The spelling of 468780 in words is "four hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 601 780 1202 1803 2404 3005 3606 6010 7212 7813 9015 12020 15626 18030 23439 31252 36060 39065 46878 78130 93756 117195 156260 234390 468780