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4166940 = 2235371877
BaseRepresentation
bin1111111001010100011100
321211200222010
433321110130
52031320230
6225151220
750263341
oct17712434
97750863
104166940
112396758
12148b510
13b2b85b
147a67c8
155749b0
hex3f951c

4166940 has 48 divisors (see below), whose sum is σ = 11989152. Its totient is φ = 1080576.

The previous prime is 4166893. The next prime is 4166999. The reversal of 4166940 is 496614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4166898 and 4166907.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (249774).

Almost surely, 24166940 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 4166940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994576).

4166940 is an abundant number, since it is smaller than the sum of its proper divisors (7822212).

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

4166940 is a wasteful number, since it uses less digits than its factorization.

4166940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4166940 is about 2041.3084039410. The cubic root of 4166940 is about 160.9184160298.

The spelling of 4166940 in words is "four million, one hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1877 2220 3754 5631 7508 9385 11262 18770 22524 28155 37540 56310 69449 112620 138898 208347 277796 347245 416694 694490 833388 1041735 1388980 2083470 4166940