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1090152 = 233372103
BaseRepresentation
bin100001010001001101000
32001101102000
410022021220
5234341102
635211000
712160200
oct4121150
92041360
101090152
11685058
12446a60
132c227b
14205400
1516801c
hex10a268

1090152 has 96 divisors (see below), whose sum is σ = 3556800. Its totient is φ = 308448.

The previous prime is 1090151. The next prime is 1090153. The reversal of 1090152 is 2510901.

It is an interprime number because it is at equal distance from previous prime (1090151) and next prime (1090153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1090151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10533 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (37050).

21090152 is an apocalyptic number.

1090152 is a gapful number since it is divisible by the number (12) 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 1090152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778400).

1090152 is an abundant number, since it is smaller than the sum of its proper divisors (2466648).

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

1090152 is a wasteful number, since it uses less digits than its factorization.

1090152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1090152 is about 1044.1034431511. The cubic root of 1090152 is about 102.9190302163.

The spelling of 1090152 in words is "one million, ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 103 108 126 147 168 189 196 206 216 252 294 309 378 392 412 441 504 588 618 721 756 824 882 927 1176 1236 1323 1442 1512 1764 1854 2163 2472 2646 2781 2884 3528 3708 4326 5047 5292 5562 5768 6489 7416 8652 10094 10584 11124 12978 15141 17304 19467 20188 22248 25956 30282 38934 40376 45423 51912 60564 77868 90846 121128 136269 155736 181692 272538 363384 545076 1090152