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1090368 = 2633631
BaseRepresentation
bin100001010001101000000
32001101201000
410022031000
5234342433
635212000
712160626
oct4121500
92041630
101090368
11685234
12447000
132c23b6
14205516
15168113
hex10a340

1090368 has 56 divisors (see below), whose sum is σ = 3210560. Its totient is φ = 362880.

The previous prime is 1090333. The next prime is 1090373. The reversal of 1090368 is 8630901.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1413 + ... + 2043.

21090368 is an apocalyptic number.

1090368 is a gapful number since it is divisible by the number (18) 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 1090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605280).

1090368 is an abundant number, since it is smaller than the sum of its proper divisors (2120192).

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

1090368 is an equidigital number, since it uses as much as digits as its factorization.

1090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1090368 is about 1044.2068760547. The cubic root of 1090368 is about 102.9258271408.

The spelling of 1090368 in words is "one million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 631 864 1262 1728 1893 2524 3786 5048 5679 7572 10096 11358 15144 17037 20192 22716 30288 34074 40384 45432 60576 68148 90864 121152 136296 181728 272592 363456 545184 1090368