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1099008 = 283453
BaseRepresentation
bin100001100010100000000
32001211120000
410030110000
5240132013
635320000
712225051
oct4142400
92054500
101099008
11690779
12450000
132c6301
14208728
1516a973
hex10c500

1099008 has 90 divisors (see below), whose sum is σ = 3338874. Its totient is φ = 359424.

The previous prime is 1098989. The next prime is 1099031. The reversal of 1099008 is 8009901.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 82944 = 1008^2 + 288^2 .

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20710 + ... + 20762.

21099008 is an apocalyptic number.

1099008 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 1099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669437).

1099008 is an abundant number, since it is smaller than the sum of its proper divisors (2239866).

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

1099008 is an frugal number, since it uses more digits than its factorization.

1099008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1099008 is about 1048.3358240564. The cubic root of 1099008 is about 103.1969712470.

1099008 divided by its sum of digits (27) gives a palindrome (40704).

The spelling of 1099008 in words is "one million, ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 256 288 318 324 384 424 432 477 576 636 648 768 848 864 954 1152 1272 1296 1431 1696 1728 1908 2304 2544 2592 2862 3392 3456 3816 4293 5088 5184 5724 6784 6912 7632 8586 10176 10368 11448 13568 15264 17172 20352 20736 22896 30528 34344 40704 45792 61056 68688 91584 122112 137376 183168 274752 366336 549504 1099008