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466106190 = 235117431901
BaseRepresentation
bin11011110010000…
…011011101001110
31012111001122111020
4123302003131032
51423310344230
6114130135010
714356560114
oct3362033516
91174048436
10466106190
1121a117530
12110121466
13757489a4
1445c91ab4
152adc0810
hex1bc8374e

466106190 has 64 divisors (see below), whose sum is σ = 1222636032. Its totient is φ = 112784000.

The previous prime is 466106189. The next prime is 466106227. The reversal of 466106190 is 91601664.

It is a super-2 number, since 2×4661061902 = 434509960712632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244240 + ... + 246140.

It is an arithmetic number, because the mean of its divisors is an integer number (19103688).

Almost surely, 2466106190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466106190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611318016).

466106190 is an abundant number, since it is smaller than the sum of its proper divisors (756529842).

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

466106190 is a wasteful number, since it uses less digits than its factorization.

466106190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 466106190 is about 21589.4925831989. The cubic root of 466106190 is about 775.3449397558.

The spelling of 466106190 in words is "four hundred sixty-six million, one hundred six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 743 1486 1901 2229 3715 3802 4458 5703 7430 8173 9505 11145 11406 16346 19010 20911 22290 24519 28515 40865 41822 49038 57030 62733 81730 104555 122595 125466 209110 245190 313665 627330 1412443 2824886 4237329 7062215 8474658 14124430 15536873 21186645 31073746 42373290 46610619 77684365 93221238 155368730 233053095 466106190