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4131380 = 2251189211
BaseRepresentation
bin1111110000101000110100
321202220012002
433300220310
52024201010
6224314432
750054561
oct17605064
97686162
104131380
112371a70
121472a18
13b18606
14797868
155691a5
hex3f0a34

4131380 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1478400.

The previous prime is 4131373. The next prime is 4131409. The reversal of 4131380 is 831314.

It is a happy number.

4131380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19475 + ... + 19685.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 24131380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

4131380 is an abundant number, since it is smaller than the sum of its proper divisors (5484940).

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

4131380 is a wasteful number, since it uses less digits than its factorization.

4131380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4131380 is about 2032.5796417361. The cubic root of 4131380 is about 160.4593570158.

Adding to 4131380 its reverse (831314), we get a palindrome (4962694).

The spelling of 4131380 in words is "four million, one hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 211 220 356 422 445 844 890 979 1055 1780 1958 2110 2321 3916 4220 4642 4895 9284 9790 11605 18779 19580 23210 37558 46420 75116 93895 187790 206569 375580 413138 826276 1032845 2065690 4131380