Search a number
-
+
4163960 = 235412539
BaseRepresentation
bin1111111000100101111000
321211112212202
433320211320
52031221320
6225125332
750251553
oct17704570
97745782
104163960
112394499
121489848
13b2a3a8
147a569a
15573b75
hex3f8978

4163960 has 32 divisors (see below), whose sum is σ = 9601200. Its totient is φ = 1624320.

The previous prime is 4163953. The next prime is 4163987. The reversal of 4163960 is 693614.

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 371 + ... + 2909.

Almost surely, 24163960 is an apocalyptic number.

4163960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800600).

4163960 is an abundant number, since it is smaller than the sum of its proper divisors (5437240).

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

4163960 is a wasteful number, since it uses less digits than its factorization.

4163960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 4163960 is about 2040.5783493902. The cubic root of 4163960 is about 160.8800464477.

The spelling of 4163960 in words is "four million, one hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2539 5078 10156 12695 20312 25390 50780 101560 104099 208198 416396 520495 832792 1040990 2081980 4163960