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134928 = 2432937
BaseRepresentation
bin100000111100010000
320212002100
4200330100
513304203
62520400
71101243
oct407420
9225070
10134928
1192412
1266100
1349551
143725a
1529ea3
hex20f10

134928 has 30 divisors (see below), whose sum is σ = 378014. Its totient is φ = 44928.

The previous prime is 134923. The next prime is 134947. The reversal of 134928 is 829431.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 51984 = 288^2 + 228^2 .

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (134921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 325 + ... + 612.

2134928 is an apocalyptic number.

134928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134928 is an abundant number, since it is smaller than the sum of its proper divisors (243086).

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

134928 is a wasteful number, since it uses less digits than its factorization.

134928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 134928 is about 367.3254687603. The cubic root of 134928 is about 51.2901569068.

The spelling of 134928 in words is "one hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 33732 44976 67464 134928