Search a number
-
+
460672974 = 23319448999
BaseRepresentation
bin11011011101010…
…100111111001110
31012002211121112000
4123131110333032
51420413013344
6113413453130
714262440616
oct3335247716
91162747460
10460672974
11217046473
1210a3411a6
1374595978
1445279a46
152a69aa69
hex1b754fce

460672974 has 32 divisors (see below), whose sum is σ = 1077600000. Its totient is φ = 145475352.

The previous prime is 460672973. The next prime is 460672999. The reversal of 460672974 is 479276064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460672973) by changing a digit.

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, 223474 + ... + 225525.

It is an arithmetic number, because the mean of its divisors is an integer number (33675000).

Almost surely, 2460672974 is an apocalyptic number.

460672974 is an abundant number, since it is smaller than the sum of its proper divisors (616927026).

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

460672974 is a wasteful number, since it uses less digits than its factorization.

460672974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449029 (or 449023 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 460672974 is about 21463.2936428685. The cubic root of 460672974 is about 772.3205276349.

The spelling of 460672974 in words is "four hundred sixty million, six hundred seventy-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 448999 897998 1346997 2693994 4040991 8081982 8530981 12122973 17061962 24245946 25592943 51185886 76778829 153557658 230336487 460672974