Search a number
-
+
55660100 = 2252556601
BaseRepresentation
bin1101010001010…
…0111001000100
310212201211022012
43110110321010
5103222110400
65304553352
71244050226
oct324247104
9125654265
1055660100
1129467291
1216782858
13b6ba792
14756c416
154d46d35
hex3514e44

55660100 has 18 divisors (see below), whose sum is σ = 120782634. Its totient is φ = 22264000.

The previous prime is 55660093. The next prime is 55660109. The reversal of 55660100 is 106655.

It can be written as a sum of positive squares in 3 ways, for example, as 8655364 + 47004736 = 2942^2 + 6856^2 .

It is not an unprimeable number, because it can be changed into a prime (55660109) 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 5 ways as a sum of consecutive naturals, for example, 278201 + ... + 278400.

Almost surely, 255660100 is an apocalyptic number.

55660100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55660100 is an abundant number, since it is smaller than the sum of its proper divisors (65122534).

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

55660100 is a wasteful number, since it uses less digits than its factorization.

55660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556615 (or 556608 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 55660100 is about 7460.5696833419. The cubic root of 55660100 is about 381.8106112359.

Adding to 55660100 its reverse (106655), we get a palindrome (55766755).

The spelling of 55660100 in words is "fifty-five million, six hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 556601 1113202 2226404 2783005 5566010 11132020 13915025 27830050 55660100