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127944 = 23321777
BaseRepresentation
bin11111001111001000
320111111200
4133033020
513043234
62424200
71042005
oct371710
9214450
10127944
1188143
1262060
134630b
14348ac
1527d99
hex1f3c8

127944 has 24 divisors (see below), whose sum is σ = 346710. Its totient is φ = 42624.

The previous prime is 127931. The next prime is 127951. The reversal of 127944 is 449721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 19044 = 330^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

127944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 817 + ... + 960.

2127944 is an apocalyptic number.

It is an amenable number.

127944 is an abundant number, since it is smaller than the sum of its proper divisors (218766).

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

127944 is a wasteful number, since it uses less digits than its factorization.

127944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 127944 is about 357.6926054589. The cubic root of 127944 is about 50.3894913843.

The spelling of 127944 in words is "one hundred twenty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1777 3554 5331 7108 10662 14216 15993 21324 31986 42648 63972 127944