Search a number
-
+
2049000 = 23353683
BaseRepresentation
bin111110100001111101000
310212002200220
413310033220
51011032000
6111530040
723262522
oct7641750
93762626
102049000
11117a498
12829920
13569835
143b4a12
152a71a0
hex1f43e8

2049000 has 64 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 545600.

The previous prime is 2048983. The next prime is 2049041. The reversal of 2049000 is 9402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2659 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

22049000 is an apocalyptic number.

2049000 is a gapful number since it is divisible by the number (20) 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 2049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2049000 is an abundant number, since it is smaller than the sum of its proper divisors (4353240).

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

2049000 is a wasteful number, since it uses less digits than its factorization.

2049000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2049000 is about 1431.4328485821. The cubic root of 2049000 is about 127.0127500788.

The spelling of 2049000 in words is "two million, forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 683 750 1000 1366 1500 2049 2732 3000 3415 4098 5464 6830 8196 10245 13660 16392 17075 20490 27320 34150 40980 51225 68300 81960 85375 102450 136600 170750 204900 256125 341500 409800 512250 683000 1024500 2049000