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2095824 = 24347929
BaseRepresentation
bin111111111101011010000
310221110221010
413333223100
51014031244
6112530520
723546163
oct7775320
93843833
102095824
111201695
12850a40
13584c43
143c7ada
152b5eb9
hex1ffad0

2095824 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 683008.

The previous prime is 2095823. The next prime is 2095831. The reversal of 2095824 is 4285902.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2095791 and 2095800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095823) 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, 1792 + ... + 2720.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

22095824 is an apocalyptic number.

2095824 is a gapful number since it is divisible by the number (24) 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 2095824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2095824 is an abundant number, since it is smaller than the sum of its proper divisors (3439536).

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

2095824 is a wasteful number, since it uses less digits than its factorization.

2095824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2095824 is about 1447.6961007062. The cubic root of 2095824 is about 127.9729760658.

The spelling of 2095824 in words is "two million, ninety-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 929 1128 1858 2256 2787 3716 5574 7432 11148 14864 22296 43663 44592 87326 130989 174652 261978 349304 523956 698608 1047912 2095824