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465133020 = 223511704747
BaseRepresentation
bin11011101110010…
…101110111011100
31012102020012112220
4123232111313130
51423033224040
6114053225340
714345364642
oct3356256734
91172205486
10465133020
11219612360
1210b932250
1375497a51
1445abb192
152ac7c2d0
hex1bb95ddc

465133020 has 48 divisors (see below), whose sum is σ = 1420771968. Its totient is φ = 112759360.

The previous prime is 465133013. The next prime is 465133037. The reversal of 465133020 is 20331564.

It is a happy number.

465133020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351714 + ... + 353033.

It is an arithmetic number, because the mean of its divisors is an integer number (29599416).

Almost surely, 2465133020 is an apocalyptic number.

It is an amenable number.

465133020 is an abundant number, since it is smaller than the sum of its proper divisors (955638948).

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

465133020 is a wasteful number, since it uses less digits than its factorization.

465133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704770 (or 704768 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 465133020 is about 21566.9427596959. The cubic root of 465133020 is about 774.8049568145.

Adding to 465133020 its reverse (20331564), we get a palindrome (485464584).

The spelling of 465133020 in words is "four hundred sixty-five million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 704747 1409494 2114241 2818988 3523735 4228482 7047470 7752217 8456964 10571205 14094940 15504434 21142410 23256651 31008868 38761085 42284820 46513302 77522170 93026604 116283255 155044340 232566510 465133020