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134280 = 23325373
BaseRepresentation
bin100000110010001000
320211012100
4200302020
513244110
62513400
71066326
oct406210
9224170
10134280
1191983
1265860
1349173
1436d16
1529bc0
hex20c88

134280 has 48 divisors (see below), whose sum is σ = 437580. Its totient is φ = 35712.

The previous prime is 134269. The next prime is 134287. The reversal of 134280 is 82431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 324 = 366^2 + 18^2 .

It is a super-2 number, since 2×1342802 = 36062236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174 + ... + 546.

2134280 is an apocalyptic number.

134280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218790).

134280 is an abundant number, since it is smaller than the sum of its proper divisors (303300).

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

134280 is a wasteful number, since it uses less digits than its factorization.

134280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134280 is about 366.4423556305. The cubic root of 134280 is about 51.2079170700.

It can be divided in two parts, 134 and 280, that added together give a palindrome (414).

The spelling of 134280 in words is "one hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 373 746 1119 1492 1865 2238 2984 3357 3730 4476 5595 6714 7460 8952 11190 13428 14920 16785 22380 26856 33570 44760 67140 134280