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119952 = 24327217
BaseRepresentation
bin11101010010010000
320002112200
4131102100
512314302
62323200
71006500
oct352220
9202480
10119952
1182138
1259500
13427a1
1431a00
152581c
hex1d490

119952 has 90 divisors (see below), whose sum is σ = 413478. Its totient is φ = 32256.

The previous prime is 119929. The next prime is 119953. The reversal of 119952 is 259911.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 7056 = 336^2 + 84^2 .

It is an Ulam number.

Its product of digits (810) is a multiple of the sum of its prime factors (45).

It is not an unprimeable number, because it can be changed into a prime (119953) by changing a digit.

119952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 7048 + ... + 7064.

2119952 is an apocalyptic number.

119952 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 119952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739).

119952 is an abundant number, since it is smaller than the sum of its proper divisors (293526).

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

119952 is a wasteful number, since it uses less digits than its factorization.

119952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 119952 is about 346.3408725519. The cubic root of 119952 is about 49.3176640440.

The spelling of 119952 in words is "one hundred nineteen thousand, nine hundred fifty-two".