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1090144 = 251119163
BaseRepresentation
bin100001010001001100000
32001101101201
410022021200
5234341034
635210544
712160156
oct4121140
92041351
101090144
11685050
12446a54
132c2273
142053d6
15168014
hex10a260

1090144 has 48 divisors (see below), whose sum is σ = 2479680. Its totient is φ = 466560.

The previous prime is 1090129. The next prime is 1090151. The reversal of 1090144 is 4410901.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 6607 + ... + 6769.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

21090144 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 1090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840).

1090144 is an abundant number, since it is smaller than the sum of its proper divisors (1389536).

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

1090144 is a wasteful number, since it uses less digits than its factorization.

1090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1090144 is about 1044.0996121060. The cubic root of 1090144 is about 102.9187784611.

The spelling of 1090144 in words is "one million, ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 163 176 209 304 326 352 418 608 652 836 1304 1672 1793 2608 3097 3344 3586 5216 6194 6688 7172 12388 14344 24776 28688 34067 49552 57376 68134 99104 136268 272536 545072 1090144