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127204 = 22721159
BaseRepresentation
bin11111000011100100
320110111021
4133003210
513032304
62420524
71036600
oct370344
9213437
10127204
1187630
1261744
1345b8c
1434500
1527a54
hex1f0e4

127204 has 36 divisors (see below), whose sum is σ = 287280. Its totient is φ = 48720.

The previous prime is 127189. The next prime is 127207. The reversal of 127204 is 402721.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (127207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127 + ... + 2185.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2127204 is an apocalyptic number.

127204 is a gapful number since it is divisible by the number (14) 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 127204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

127204 is an abundant number, since it is smaller than the sum of its proper divisors (160076).

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

127204 is a wasteful number, since it uses less digits than its factorization.

127204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 127204 is about 356.6566976800. The cubic root of 127204 is about 50.2921562364.

Adding to 127204 its reverse (402721), we get a palindrome (529925).

The spelling of 127204 in words is "one hundred twenty-seven thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 196 236 308 413 539 649 826 1078 1298 1652 2156 2596 2891 4543 5782 9086 11564 18172 31801 63602 127204