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128457 = 3272039
BaseRepresentation
bin11111010111001001
320112012200
4133113021
513102312
62430413
71043340
oct372711
9215180
10128457
118856a
1262409
1346614
1434b57
15280dc
hex1f5c9

128457 has 12 divisors (see below), whose sum is σ = 212160. Its totient is φ = 73368.

The previous prime is 128449. The next prime is 128461. The reversal of 128457 is 754821.

It is not a de Polignac number, because 128457 - 23 = 128449 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (17680).

2128457 is an apocalyptic number.

It is an amenable number.

128457 is a deficient number, since it is larger than the sum of its proper divisors (83703).

128457 is a wasteful number, since it uses less digits than its factorization.

128457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2049 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 128457 is about 358.4089842624. The cubic root of 128457 is about 50.4567482492.

It can be divided in two parts, 128 and 457, that added together give a palindrome (585).

The spelling of 128457 in words is "one hundred twenty-eight thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 63 2039 6117 14273 18351 42819 128457