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4130500 = 225311751
BaseRepresentation
bin1111110000011011000100
321202211222111
433300123010
52024134000
6224310404
750052163
oct17603304
97684874
104130500
112371340
121472404
13b180aa
147973da
15568cba
hex3f06c4

4130500 has 48 divisors (see below), whose sum is σ = 9854208. Its totient is φ = 1500000.

The previous prime is 4130479. The next prime is 4130519. The reversal of 4130500 is 50314.

4130500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41305002 = 34122060500000, which contains 22 as substring.

It is an Ulam 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, 5125 + ... + 5875.

It is an arithmetic number, because the mean of its divisors is an integer number (205296).

Almost surely, 24130500 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 4130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927104).

4130500 is an abundant number, since it is smaller than the sum of its proper divisors (5723708).

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

4130500 is a wasteful number, since it uses less digits than its factorization.

4130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 4130500 is about 2032.3631565249. The cubic root of 4130500 is about 160.4479633846.

Adding to 4130500 its reverse (50314), we get a palindrome (4180814).

The spelling of 4130500 in words is "four million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 751 1100 1375 1502 2750 3004 3755 5500 7510 8261 15020 16522 18775 33044 37550 41305 75100 82610 93875 165220 187750 206525 375500 413050 826100 1032625 2065250 4130500