Search a number
-
+
2065376 = 25194379
BaseRepresentation
bin111111000001111100000
310212221011102
413320033200
51012043001
6112133532
723361335
oct7701740
93787142
102065376
111190825
128372a8
13574121
143ba98c
152abe6b
hex1f83e0

2065376 has 48 divisors (see below), whose sum is σ = 4435200. Its totient is φ = 943488.

The previous prime is 2065369. The next prime is 2065379. The reversal of 2065376 is 6735602.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26105 + ... + 26183.

It is an arithmetic number, because the mean of its divisors is an integer number (92400).

22065376 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 2065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217600).

2065376 is an abundant number, since it is smaller than the sum of its proper divisors (2369824).

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

2065376 is a wasteful number, since it uses less digits than its factorization.

2065376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 2065376 is about 1437.1416074973. The cubic root of 2065376 is about 127.3502226865.

The spelling of 2065376 in words is "two million, sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 43 76 79 86 152 158 172 304 316 344 608 632 688 817 1264 1376 1501 1634 2528 3002 3268 3397 6004 6536 6794 12008 13072 13588 24016 26144 27176 48032 54352 64543 108704 129086 258172 516344 1032688 2065376