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456068 = 221131009
BaseRepresentation
bin1101111010110000100
3212011121102
41233112010
5104043233
613435232
73606434
oct1572604
9764542
10456068
11291718
1219bb18
1312c782
14bc2c4
15901e8
hex6f584

456068 has 12 divisors (see below), whose sum is σ = 805980. Its totient is φ = 225792.

The previous prime is 456061. The next prime is 456091. The reversal of 456068 is 860654.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 399424 = 238^2 + 632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456061) by changing a digit.

456068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (67165).

2456068 is an apocalyptic number.

It is an amenable number.

456068 is a deficient number, since it is larger than the sum of its proper divisors (349912).

456068 is a wasteful number, since it uses less digits than its factorization.

456068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 456068 is about 675.3280684230. The cubic root of 456068 is about 76.9738484306.

The spelling of 456068 in words is "four hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 4 113 226 452 1009 2018 4036 114017 228034 456068