Search a number
-
+
127055880 = 233257127397
BaseRepresentation
bin1111001001010…
…11100000001000
322212002002220100
413210223200020
5230011242010
620335125400
73101646210
oct744534010
9285062810
10127055880
11657a0a66
1236673860
13204276c3
1412c35240
15b24b2c0
hex792b808

127055880 has 192 divisors, whose sum is σ = 476835840. Its totient is φ = 28740096.

The previous prime is 127055867. The next prime is 127055881. The reversal of 127055880 is 88550721.

127055880 is a `hidden beast` number, since 1 + 2 + 70 + 5 + 588 + 0 = 666.

It is a super-5 number, since 5×1270558805 (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127055881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319842 + ... + 320238.

It is an arithmetic number, because the mean of its divisors is an integer number (2483520).

Almost surely, 2127055880 is an apocalyptic number.

127055880 is a gapful number since it is divisible by the number (10) 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 127055880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238417920).

127055880 is an abundant number, since it is smaller than the sum of its proper divisors (349779960).

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

127055880 is a wasteful number, since it uses less digits than its factorization.

127055880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 127055880 is about 11271.9066710118. The cubic root of 127055880 is about 502.7262810982.

The spelling of 127055880 in words is "one hundred twenty-seven million, fifty-five thousand, eight hundred eighty".