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465990 = 23572317
BaseRepresentation
bin1110001110001000110
3212200012220
41301301012
5104402430
613553210
73650400
oct1616106
9780186
10465990
11299118
121a5806
13134145
14c1b70
1593110
hex71c46

465990 has 48 divisors (see below), whose sum is σ = 1305072. Its totient is φ = 106176.

The previous prime is 465989. The next prime is 466009. The reversal of 465990 is 99564.

It is a happy number.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 15.

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, 1312 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (27189).

2465990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652536).

465990 is an abundant number, since it is smaller than the sum of its proper divisors (839082).

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

465990 is a wasteful number, since it uses less digits than its factorization.

465990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 465990 is about 682.6346021116. The cubic root of 465990 is about 77.5280508934.

The spelling of 465990 in words is "four hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 317 490 634 735 951 1470 1585 1902 2219 3170 4438 4755 6657 9510 11095 13314 15533 22190 31066 33285 46599 66570 77665 93198 155330 232995 465990