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4130874 = 2321131673
BaseRepresentation
bin1111110000100000111010
321202212111100
433300200322
52024141444
6224312230
750053236
oct17604072
97685440
104130874
112371650
121472676
13b18307
147975c6
15568e69
hex3f083a

4130874 has 48 divisors (see below), whose sum is σ = 10093824. Its totient is φ = 1209600.

The previous prime is 4130849. The next prime is 4130887. The reversal of 4130874 is 4780314.

4130874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 5802 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (210288).

Almost surely, 24130874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046912).

4130874 is an abundant number, since it is smaller than the sum of its proper divisors (5962950).

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

4130874 is a wasteful number, since it uses less digits than its factorization.

4130874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4130874 is about 2032.4551655572. The cubic root of 4130874 is about 160.4528058756.

The spelling of 4130874 in words is "four million, one hundred thirty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 673 682 1023 1346 2019 2046 3069 4038 6057 6138 7403 12114 14806 20863 22209 41726 44418 62589 66627 125178 133254 187767 229493 375534 458986 688479 1376958 2065437 4130874