Base | Representation |
---|---|
bin | 1101001111101… |
… | …0110000010000 |
3 | 10212112101110000 |
4 | 3103322300100 |
5 | 103210144130 |
6 | 5302410000 |
7 | 1243123134 |
oct | 323726020 |
9 | 125471400 |
10 | 55553040 |
11 | 293a3904 |
12 | 16730900 |
13 | b680b2a |
14 | 75413c4 |
15 | 4d25260 |
hex | 34fac10 |
55553040 has 100 divisors (see below), whose sum is σ = 192966444. Its totient is φ = 14812416.
The previous prime is 55552993. The next prime is 55553053. The reversal of 55553040 is 4035555.
It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 36578304 = 4356^2 + 6048^2 .
It is a super-3 number, since 3×555530403 (a number of 24 digits) contains 333 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 (27).
It is a junction number, because it is equal to n+sod(n) for n = 55552995 and 55553013.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2194 + ... + 10766.
Almost surely, 255553040 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 55553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96483222).
55553040 is an abundant number, since it is smaller than the sum of its proper divisors (137413404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55553040 is a wasteful number, since it uses less digits than its factorization.
55553040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8598 (or 8583 counting only the distinct ones).
The product of its (nonzero) digits is 7500, while the sum is 27.
The square root of 55553040 is about 7453.3911744923. The cubic root of 55553040 is about 381.5656549130.
Adding to 55553040 its reverse (4035555), we get a palindrome (59588595).
The spelling of 55553040 in words is "fifty-five million, five hundred fifty-three thousand, forty".
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