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4130432 = 2723261
BaseRepresentation
bin1111110000011010000000
321202211212222
433300122000
52024133212
6224310212
750052035
oct17603200
97684788
104130432
112371289
121472368
13b18057
1479738c
15568c72
hex3f0680

4130432 has 48 divisors (see below), whose sum is σ = 8742930. Its totient is φ = 1943040.

The previous prime is 4130389. The next prime is 4130437. The reversal of 4130432 is 2340314.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 33856 = 2024^2 + 184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4130432.

It is not an unprimeable number, because it can be changed into a prime (4130437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67682 + ... + 67742.

Almost surely, 24130432 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 4130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371465).

4130432 is an abundant number, since it is smaller than the sum of its proper divisors (4612498).

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

4130432 is an equidigital number, since it uses as much as digits as its factorization.

4130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4130432 is about 2032.3464271625. The cubic root of 4130432 is about 160.4470829002.

Adding to 4130432 its reverse (2340314), we get a palindrome (6470746).

The spelling of 4130432 in words is "four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 128 184 244 368 488 529 736 976 1058 1403 1472 1952 2116 2806 2944 3904 4232 5612 7808 8464 11224 16928 22448 32269 33856 44896 64538 67712 89792 129076 179584 258152 516304 1032608 2065216 4130432