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1090208 = 25731157
BaseRepresentation
bin100001010001010100000
32001101111002
410022022200
5234341313
635211132
712160310
oct4121240
92041432
101090208
116850a9
12446aa8
132c22c2
14205440
15168058
hex10a2a0

1090208 has 48 divisors (see below), whose sum is σ = 2548224. Its totient is φ = 449280.

The previous prime is 1090189. The next prime is 1090211. The reversal of 1090208 is 8020901.

1090208 is nontrivially palindromic in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1090208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6866 + ... + 7022.

It is an arithmetic number, because the mean of its divisors is an integer number (53088).

21090208 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 1090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274112).

1090208 is an abundant number, since it is smaller than the sum of its proper divisors (1458016).

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

1090208 is a wasteful number, since it uses less digits than its factorization.

1090208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1090208 is about 1044.1302600729. The cubic root of 1090208 is about 102.9207924681.

The spelling of 1090208 in words is "one million, ninety thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 157 217 224 248 314 434 496 628 868 992 1099 1256 1736 2198 2512 3472 4396 4867 5024 6944 8792 9734 17584 19468 34069 35168 38936 68138 77872 136276 155744 272552 545104 1090208