Search a number
-
+
1990208 = 26112257
BaseRepresentation
bin111100101111001000000
310202010001102
413211321000
51002141313
6110353532
722626233
oct7457100
93663042
101990208
11113a300
127bb8a8
13548b4c
1439b41a
15294a58
hex1e5e40

1990208 has 42 divisors (see below), whose sum is σ = 4357878. Its totient is φ = 901120.

The previous prime is 1990189. The next prime is 1990211. The reversal of 1990208 is 8020991.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 7744 = 1408^2 + 88^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7616 + ... + 7872.

It is an arithmetic number, because the mean of its divisors is an integer number (103759).

21990208 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 1990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178939).

1990208 is an abundant number, since it is smaller than the sum of its proper divisors (2367670).

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

1990208 is a wasteful number, since it uses less digits than its factorization.

1990208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1990208 is about 1410.7473196856. The cubic root of 1990208 is about 125.7861493880.

The spelling of 1990208 in words is "one million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 257 352 484 514 704 968 1028 1936 2056 2827 3872 4112 5654 7744 8224 11308 16448 22616 31097 45232 62194 90464 124388 180928 248776 497552 995104 1990208