Search a number
-
+
2985024 = 26372221
BaseRepresentation
bin1011011000110001000000
312121122200110
423120301000
51231010044
6143551320
734241460
oct13306100
95548613
102985024
111759769
12bbb540
138068b3
14579ba0
153de6b9
hex2d8c40

2985024 has 56 divisors (see below), whose sum is σ = 9030208. Its totient is φ = 852480.

The previous prime is 2985011. The next prime is 2985029. The reversal of 2985024 is 4205892.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2984982 and 2985000.

It is not an unprimeable number, because it can be changed into a prime (2985029) 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, 234 + ... + 2454.

22985024 is an apocalyptic number.

2985024 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 2985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515104).

2985024 is an abundant number, since it is smaller than the sum of its proper divisors (6045184).

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

2985024 is a wasteful number, since it uses less digits than its factorization.

2985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2233 counting only the distinct ones).

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

The square root of 2985024 is about 1727.7221998921. The cubic root of 2985024 is about 143.9845662471.

The spelling of 2985024 in words is "two million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2221 4442 6663 8884 13326 15547 17768 26652 31094 35536 46641 53304 62188 71072 93282 106608 124376 142144 186564 213216 248752 373128 426432 497504 746256 995008 1492512 2985024