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4130280 = 23325711149
BaseRepresentation
bin1111110000010111101000
321202211200100
433300113220
52024132110
6224305400
750051430
oct17602750
97684610
104130280
112371160
121472260
13b17c6b
147972c0
15568bc0
hex3f05e8

4130280 has 192 divisors, whose sum is σ = 16848000. Its totient is φ = 852480.

The previous prime is 4130261. The next prime is 4130281. The reversal of 4130280 is 820314.

It is a happy number.

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 (4130281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27646 + ... + 27794.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

Almost surely, 24130280 is an apocalyptic number.

4130280 is a gapful number since it is divisible by the number (40) 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 4130280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

4130280 is an abundant number, since it is smaller than the sum of its proper divisors (12717720).

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

4130280 is a wasteful number, since it uses less digits than its factorization.

4130280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

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

The square root of 4130280 is about 2032.3090316190. The cubic root of 4130280 is about 160.4451147239.

Adding to 4130280 its reverse (820314), we get a palindrome (4950594).

The spelling of 4130280 in words is "four million, one hundred thirty thousand, two hundred eighty".