Search a number
-
+
2083424 = 25771131
BaseRepresentation
bin111111100101001100000
310220211220212
413330221200
51013132144
6112353252
723465060
oct7745140
93824825
102083424
1111a3342
12845828
1357c3c5
143c33a0
152b249e
hex1fca60

2083424 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 873600.

The previous prime is 2083423. The next prime is 2083427. The reversal of 2083424 is 4243802.

It is a self number, because there is not a number n which added to its sum of digits gives 2083424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083421) 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, 15839 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

22083424 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 2083424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2083424 is an abundant number, since it is smaller than the sum of its proper divisors (2706592).

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

2083424 is a wasteful number, since it uses less digits than its factorization.

2083424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2083424 is about 1443.4070804870. The cubic root of 2083424 is about 127.7200914713.

The spelling of 2083424 in words is "two million, eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 131 142 224 262 284 497 524 568 917 994 1048 1136 1834 1988 2096 2272 3668 3976 4192 7336 7952 9301 14672 15904 18602 29344 37204 65107 74408 130214 148816 260428 297632 520856 1041712 2083424