Search a number
-
+
2041968 = 243192239
BaseRepresentation
bin111110010100001110000
310211202001110
413302201300
51010320333
6111433320
723233155
oct7624160
93752043
102041968
111175185
12825840
13566586
143b222c
152a5063
hex1f2870

2041968 has 40 divisors (see below), whose sum is σ = 5555200. Its totient is φ = 644544.

The previous prime is 2041967. The next prime is 2041997. The reversal of 2041968 is 8691402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

22041968 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 2041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777600).

2041968 is an abundant number, since it is smaller than the sum of its proper divisors (3513232).

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

2041968 is a wasteful number, since it uses less digits than its factorization.

2041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2041968 is about 1428.9744574344. The cubic root of 2041968 is about 126.8672844281.

The spelling of 2041968 in words is "two million, forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2239 4478 6717 8956 13434 17912 26868 35824 42541 53736 85082 107472 127623 170164 255246 340328 510492 680656 1020984 2041968