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1999008 = 253211631
BaseRepresentation
bin111101000000010100000
310202120010100
413220002200
51002432013
6110502400
722664004
oct7500240
93676110
101999008
111145980
12804a00
1354cb5b
143a0704
15297473
hex1e80a0

1999008 has 72 divisors (see below), whose sum is σ = 6211296. Its totient is φ = 604800.

The previous prime is 1999007. The next prime is 1999021. The reversal of 1999008 is 8009991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1999007) 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 11 ways as a sum of consecutive naturals, for example, 2853 + ... + 3483.

It is an arithmetic number, because the mean of its divisors is an integer number (86268).

21999008 is an apocalyptic number.

1999008 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 1999008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105648).

1999008 is an abundant number, since it is smaller than the sum of its proper divisors (4212288).

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

1999008 is a wasteful number, since it uses less digits than its factorization.

1999008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1999008 is about 1413.8627939089. The cubic root of 1999008 is about 125.9712708498.

The spelling of 1999008 in words is "one million, nine hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 631 792 1056 1262 1584 1893 2524 3168 3786 5048 5679 6941 7572 10096 11358 13882 15144 20192 20823 22716 27764 30288 41646 45432 55528 60576 62469 83292 90864 111056 124938 166584 181728 222112 249876 333168 499752 666336 999504 1999008