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4130172 = 2232472441
BaseRepresentation
bin1111110000010101111100
321202211112100
433300111330
52024131142
6224305100
750051214
oct17602574
97684470
104130172
112371072
121472190
13b17bb7
14797244
15568b4c
hex3f057c

4130172 has 36 divisors (see below), whose sum is σ = 10666656. Its totient is φ = 1346880.

The previous prime is 4130171. The next prime is 4130207. The reversal of 4130172 is 2710314.

It is a tau number, because it is divible by the number of its divisors (36).

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 (4130171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (296296).

Almost surely, 24130172 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 4130172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333328).

4130172 is an abundant number, since it is smaller than the sum of its proper divisors (6536484).

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

4130172 is a wasteful number, since it uses less digits than its factorization.

4130172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4130172 is about 2032.2824606831. The cubic root of 4130172 is about 160.4437162534.

Adding to 4130172 its reverse (2710314), we get a palindrome (6840486).

The spelling of 4130172 in words is "four million, one hundred thirty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2441 4882 7323 9764 14646 21969 29292 43938 87876 114727 229454 344181 458908 688362 1032543 1376724 2065086 4130172