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460056 = 23329661
BaseRepresentation
bin1110000010100011000
3212101002010
41300110120
5104210211
613505520
73624162
oct1602430
9771063
10460056
11294713
121a22a0
1313152c
14bd932
15914a6
hex70518

460056 has 32 divisors (see below), whose sum is σ = 1191600. Its totient is φ = 147840.

The previous prime is 460051. The next prime is 460063. The reversal of 460056 is 650064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460056.

It is not an unprimeable number, because it can be changed into a prime (460051) by changing a digit.

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, 366 + ... + 1026.

2460056 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 460056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595800).

460056 is an abundant number, since it is smaller than the sum of its proper divisors (731544).

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

460056 is a wasteful number, since it uses less digits than its factorization.

460056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 460056 is about 678.2742808039. The cubic root of 460056 is about 77.1975586940.

It can be divided in two parts, 4600 and 56, that added together give a triangular number (4656 = T96).

The spelling of 460056 in words is "four hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 661 696 1322 1983 2644 3966 5288 7932 15864 19169 38338 57507 76676 115014 153352 230028 460056