Search a number
-
+
32138280 = 2332589273
BaseRepresentation
bin111101010011…
…0010000101000
32020110210102200
41322212100220
531211411110
63104500200
7540112416
oct172462050
966423380
1032138280
1117160a69
12a91a660
136873345
1443a82b6
152c4c6c0
hex1ea6428

32138280 has 48 divisors (see below), whose sum is σ = 104450580. Its totient is φ = 8570112.

The previous prime is 32138273. The next prime is 32138287. The reversal of 32138280 is 8283123.

It is an interprime number because it is at equal distance from previous prime (32138273) and next prime (32138287).

It can be written as a sum of positive squares in 2 ways, for example, as 32012964 + 125316 = 5658^2 + 354^2 .

It is not an unprimeable number, because it can be changed into a prime (32138287) 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, 44277 + ... + 44996.

Almost surely, 232138280 is an apocalyptic number.

32138280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32138280 is an abundant number, since it is smaller than the sum of its proper divisors (72312300).

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

32138280 is a wasteful number, since it uses less digits than its factorization.

32138280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89290 (or 89283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32138280 is about 5669.0634147097. The cubic root of 32138280 is about 317.9368570488.

The spelling of 32138280 in words is "thirty-two million, one hundred thirty-eight 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 89273 178546 267819 357092 446365 535638 714184 803457 892730 1071276 1339095 1606914 1785460 2142552 2678190 3213828 3570920 4017285 5356380 6427656 8034570 10712760 16069140 32138280