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1099332 = 22361329
BaseRepresentation
bin100001100011001000100
32001212000000
410030121010
5240134312
635321300
712226023
oct4143104
92055000
101099332
11690a43
12450230
132c64c0
142088ba
1516aadc
hex10c644

1099332 has 84 divisors (see below), whose sum is σ = 3213420. Its totient is φ = 326592.

The previous prime is 1099327. The next prime is 1099337. The reversal of 1099332 is 2339901.

It is an interprime number because it is at equal distance from previous prime (1099327) and next prime (1099337).

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 746496 = 594^2 + 864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1099296 and 1099305.

It is not an unprimeable number, because it can be changed into a prime (1099337) 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 27 ways as a sum of consecutive naturals, for example, 37894 + ... + 37922.

It is an arithmetic number, because the mean of its divisors is an integer number (38255).

21099332 is an apocalyptic number.

1099332 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 1099332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606710).

1099332 is an abundant number, since it is smaller than the sum of its proper divisors (2114088).

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

1099332 is a wasteful number, since it uses less digits than its factorization.

1099332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1099332 is about 1048.4903433032. The cubic root of 1099332 is about 103.2071114623.

It can be divided in two parts, 10993 and 32, that added together give a square (11025 = 1052).

The spelling of 1099332 in words is "one million, ninety-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 243 261 324 348 351 377 468 486 522 702 729 754 783 972 1044 1053 1131 1404 1458 1508 1566 2106 2262 2349 2916 3132 3159 3393 4212 4524 4698 6318 6786 7047 9396 9477 10179 12636 13572 14094 18954 20358 21141 28188 30537 37908 40716 42282 61074 84564 91611 122148 183222 274833 366444 549666 1099332