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4080132 = 223472257
BaseRepresentation
bin1111100100001000000100
321200021220000
433210020010
52021031012
6223241300
746452300
oct17441004
97607800
104080132
112337511
121449230
13acb1a4
14782d00
15558ddc
hex3e4204

4080132 has 90 divisors (see below), whose sum is σ = 12455982. Its totient is φ = 1161216.

The previous prime is 4080121. The next prime is 4080133. The reversal of 4080132 is 2310804.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 15876 = 2016^2 + 126^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080133) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15748 + ... + 16004.

Almost surely, 24080132 is an apocalyptic number.

4080132 is a gapful number since it is divisible by the number (42) 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 4080132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227991).

4080132 is an abundant number, since it is smaller than the sum of its proper divisors (8375850).

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

4080132 is a wasteful number, since it uses less digits than its factorization.

4080132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

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

The square root of 4080132 is about 2019.9336622771. The cubic root of 4080132 is about 159.7931180310.

Adding to 4080132 its reverse (2310804), we get a palindrome (6390936).

The spelling of 4080132 in words is "four million, eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 257 294 324 378 441 514 567 588 756 771 882 1028 1134 1323 1542 1764 1799 2268 2313 2646 3084 3598 3969 4626 5292 5397 6939 7196 7938 9252 10794 12593 13878 15876 16191 20817 21588 25186 27756 32382 37779 41634 48573 50372 64764 75558 83268 97146 113337 145719 151116 194292 226674 291438 340011 453348 582876 680022 1020033 1360044 2040066 4080132