| Base | Representation |
|---|---|
| bin | 1101001001000… |
| … | …1000010000000 |
| 3 | 10211201101102111 |
| 4 | 3102101002000 |
| 5 | 103102320000 |
| 6 | 5245225104 |
| 7 | 1236340465 |
| oct | 322210200 |
| 9 | 124641374 |
| 10 | 55120000 |
| 11 | 29128521 |
| 12 | 16562194 |
| 13 | b55b9b0 |
| 14 | 746b66c |
| 15 | 4c8bcba |
| hex | 3491080 |
55120000 has 160 divisors (see below), whose sum is σ = 150561180. Its totient is φ = 19968000.
The previous prime is 55119997. The next prime is 55120003. The reversal of 55120000 is 2155.
It is an interprime number because it is at equal distance from previous prime (55119997) and next prime (55120003).
It can be written as a sum of positive squares in 10 ways, for example, as 7011904 + 48108096 = 2648^2 + 6936^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (55120003) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 1039974 + ... + 1040026.
Almost surely, 255120000 is an apocalyptic number.
55120000 is a gapful number since it is divisible by the number (50) 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 55120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75280590).
55120000 is an abundant number, since it is smaller than the sum of its proper divisors (95441180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55120000 is an equidigital number, since it uses as much as digits as its factorization.
55120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 50, while the sum is 13.
The square root of 55120000 is about 7424.2844773082. The cubic root of 55120000 is about 380.5716235325.
Adding to 55120000 its reverse (2155), we get a palindrome (55122155).
The spelling of 55120000 in words is "fifty-five million, one hundred twenty thousand".
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