Search a number
-
+
1890048 = 28323107
BaseRepresentation
bin111001101011100000000
310120000122210
413031130000
5440440143
6104302120
722031226
oct7153400
93500583
101890048
111081026
12771940
13512394
14372b16
15275033
hex1cd700

1890048 has 72 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 596992.

The previous prime is 1890041. The next prime is 1890079. The reversal of 1890048 is 8400981.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1889997 and 1890024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890041) 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, 17611 + ... + 17717.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

21890048 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 1890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

1890048 is an abundant number, since it is smaller than the sum of its proper divisors (3408000).

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

1890048 is a wasteful number, since it uses less digits than its factorization.

1890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1890048 is about 1374.7901658071. The cubic root of 1890048 is about 123.6396056610.

The spelling of 1890048 in words is "one million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 107 128 138 184 192 214 256 276 321 368 384 428 552 642 736 768 856 1104 1284 1472 1712 2208 2461 2568 2944 3424 4416 4922 5136 5888 6848 7383 8832 9844 10272 13696 14766 17664 19688 20544 27392 29532 39376 41088 59064 78752 82176 118128 157504 236256 315008 472512 630016 945024 1890048