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467134020 = 223353972179
BaseRepresentation
bin11011110101111…
…110011001000100
31012112222212102000
4123311332121010
51424041242040
6114204145300
714401400523
oct3365763104
91175885360
10467134020
1121a759781
12110538230
1375a18782
144607c4ba
152b025130
hex1bd7e644

467134020 has 96 divisors (see below), whose sum is σ = 1457635200. Its totient is φ = 124198272.

The previous prime is 467133967. The next prime is 467134021. The reversal of 467134020 is 20431764.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (467134021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213291 + ... + 215469.

It is an arithmetic number, because the mean of its divisors is an integer number (15183700).

Almost surely, 2467134020 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 467134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728817600).

467134020 is an abundant number, since it is smaller than the sum of its proper divisors (990501180).

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

467134020 is a wasteful number, since it uses less digits than its factorization.

467134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 467134020 is about 21613.2834155294. The cubic root of 467134020 is about 775.9144363979.

Adding to 467134020 its reverse (20431764), we get a palindrome (487565784).

The spelling of 467134020 in words is "four hundred sixty-seven million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 397 540 794 1191 1588 1985 2179 2382 3573 3970 4358 4764 5955 6537 7146 7940 8716 10719 10895 11910 13074 14292 17865 19611 21438 21790 23820 26148 32685 35730 39222 42876 43580 53595 58833 65370 71460 78444 98055 107190 117666 130740 196110 214380 235332 294165 392220 588330 865063 1176660 1730126 2595189 3460252 4325315 5190378 7785567 8650630 10380756 12975945 15571134 17301260 23356701 25951890 31142268 38927835 46713402 51903780 77855670 93426804 116783505 155711340 233567010 467134020