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119988 = 223311101
BaseRepresentation
bin11101010010110100
320002121000
4131102310
512314423
62323300
71006551
oct352264
9202530
10119988
1182170
1259530
13427cb
1431a28
1525843
hex1d4b4

119988 has 48 divisors (see below), whose sum is σ = 342720. Its totient is φ = 36000.

The previous prime is 119983. The next prime is 119993. The reversal of 119988 is 889911.

It is an interprime number because it is at equal distance from previous prime (119983) and next prime (119993).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2119988 is an apocalyptic number.

119988 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 119988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

119988 is an abundant number, since it is smaller than the sum of its proper divisors (222732).

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

119988 is a wasteful number, since it uses less digits than its factorization.

119988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 119988 is about 346.3928405727. The cubic root of 119988 is about 49.3225972904.

119988 divided by its sum of digits (36) gives a palindrome (3333).

It can be divided in two parts, 11 and 9988, that added together give a palindrome (9999).

The spelling of 119988 in words is "one hundred nineteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 101 108 132 198 202 297 303 396 404 594 606 909 1111 1188 1212 1818 2222 2727 3333 3636 4444 5454 6666 9999 10908 13332 19998 29997 39996 59994 119988