Search a number
-
+
55503360 = 293351173
BaseRepresentation
bin1101001110111…
…0101000000000
310212102212022000
43103232220000
5103202101420
65301344000
71242525243
oct323565000
9125385260
1055503360
112936a550
1216708000
13b664333
14752b25a
154d15690
hex34eea00

55503360 has 320 divisors, whose sum is σ = 218021760. Its totient is φ = 13271040.

The previous prime is 55503353. The next prime is 55503373. The reversal of 55503360 is 6330555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 760284 + ... + 760356.

It is an arithmetic number, because the mean of its divisors is an integer number (681318).

Almost surely, 255503360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010880).

55503360 is an abundant number, since it is smaller than the sum of its proper divisors (162518400).

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

55503360 is a wasteful number, since it uses less digits than its factorization.

55503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 55503360 is about 7450.0577178972. The cubic root of 55503360 is about 381.4518787496.

The spelling of 55503360 in words is "fifty-five million, five hundred three thousand, three hundred sixty".