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460964 = 227101163
BaseRepresentation
bin1110000100010100100
3212102022202
41300202210
5104222324
613514032
73626630
oct1604244
9772282
10460964
11295369
121a2918
13131a7a
14bddc0
15918ae
hex708a4

460964 has 24 divisors (see below), whose sum is σ = 936768. Its totient is φ = 194400.

The previous prime is 460951. The next prime is 460969. The reversal of 460964 is 469064.

It is not an unprimeable number, because it can be changed into a prime (460969) by changing a digit.

460964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2747 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (39032).

2460964 is an apocalyptic number.

It is an amenable number.

460964 is an abundant number, since it is smaller than the sum of its proper divisors (475804).

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

460964 is a wasteful number, since it uses less digits than its factorization.

460964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 460964 is about 678.9432966014. The cubic root of 460964 is about 77.2483128910.

Subtracting 460964 from its reverse (469064), we obtain a square (8100 = 902).

The spelling of 460964 in words is "four hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 101 163 202 326 404 652 707 1141 1414 2282 2828 4564 16463 32926 65852 115241 230482 460964