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466320030 = 2351117101823
BaseRepresentation
bin11011110010110…
…111101010011110
31012111110111211020
4123302313222132
51423334220110
6114134505010
714361440421
oct3362675236
91174414736
10466320030
1121a253160
12110205166
13757c2117
1445d099b8
152ae13d70
hex1bcb7a9e

466320030 has 128 divisors (see below), whose sum is σ = 1307114496. Its totient is φ = 105216000.

The previous prime is 466320007. The next prime is 466320053. The reversal of 466320030 is 30023664.

It is an interprime number because it is at equal distance from previous prime (466320007) and next prime (466320053).

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 63 ways as a sum of consecutive naturals, for example, 566199 + ... + 567021.

It is an arithmetic number, because the mean of its divisors is an integer number (10211832).

Almost surely, 2466320030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653557248).

466320030 is an abundant number, since it is smaller than the sum of its proper divisors (840794466).

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

466320030 is a wasteful number, since it uses less digits than its factorization.

466320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 466320030 is about 21594.4444244347. Note that the first 4 decimals coincide. The cubic root of 466320030 is about 775.4634924352.

Adding to 466320030 its reverse (30023664), we get a palindrome (496343694).

The spelling of 466320030 in words is "four hundred sixty-six million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 823 935 1010 1111 1122 1515 1646 1717 1870 2222 2469 2805 3030 3333 3434 4115 4938 5151 5555 5610 6666 8230 8585 9053 10302 11110 12345 13991 16665 17170 18106 18887 24690 25755 27159 27982 33330 37774 41973 45265 51510 54318 56661 69955 83123 83946 90530 94435 113322 135795 139910 153901 166246 188870 209865 249369 271590 283305 307802 415615 419730 461703 498738 566610 769505 831230 914353 923406 1246845 1413091 1539010 1828706 2308515 2493690 2743059 2826182 4239273 4571765 4617030 5486118 7065455 8478546 9143530 13715295 14130910 15544001 21196365 27430590 31088002 42392730 46632003 77720005 93264006 155440010 233160015 466320030