Search a number
-
+
2085024 = 25337587
BaseRepresentation
bin111111101000010100000
310220221010010
413331002200
51013210044
6112404520
723502534
oct7750240
93827103
102085024
1111a4567
12846740
13580056
143c3bc4
152b2bb9
hex1fd0a0

2085024 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 675072.

The previous prime is 2085023. The next prime is 2085037. The reversal of 2085024 is 4205802.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2085023) 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, 3259 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22085024 is an apocalyptic number.

2085024 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 2085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2085024 is an abundant number, since it is smaller than the sum of its proper divisors (3545664).

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

2085024 is a wasteful number, since it uses less digits than its factorization.

2085024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2085024 is about 1443.9612183158. The cubic root of 2085024 is about 127.7527780259.

The spelling of 2085024 in words is "two million, eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 587 592 888 1174 1184 1761 1776 2348 3522 3552 4696 7044 9392 14088 18784 21719 28176 43438 56352 65157 86876 130314 173752 260628 347504 521256 695008 1042512 2085024