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468990 = 2355193
BaseRepresentation
bin1110010011111111110
3212211100000
41302133332
5110001430
614015130
73662214
oct1623776
9784300
10468990
112a03a5
121a74a6
13135612
14c2cb4
1593e60
hex727fe

468990 has 48 divisors (see below), whose sum is σ = 1271088. Its totient is φ = 124416.

The previous prime is 468983. The next prime is 469009. The reversal of 468990 is 99864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2468990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635544).

468990 is an abundant number, since it is smaller than the sum of its proper divisors (802098).

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

468990 is a wasteful number, since it uses less digits than its factorization.

468990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 468990 is about 684.8284456709. The cubic root of 468990 is about 77.6940679122.

The spelling of 468990 in words is "four hundred sixty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 193 243 270 386 405 486 579 810 965 1158 1215 1737 1930 2430 2895 3474 5211 5790 8685 10422 15633 17370 26055 31266 46899 52110 78165 93798 156330 234495 468990