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55105830 = 23251323623
BaseRepresentation
bin1101001000110…
…1100100100110
310211200122222200
43102031210212
5103101341310
65245035330
71236251253
oct322154446
9124618880
1055105830
112911890a
1216555b46
13b555400
14746642a
154c879c0
hex348d926

55105830 has 72 divisors (see below), whose sum is σ = 155186928. Its totient is φ = 13560768.

The previous prime is 55105801. The next prime is 55105837. The reversal of 55105830 is 3850155.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 55105794 and 55105803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13399 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (2155374).

Almost surely, 255105830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55105830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77593464).

55105830 is an abundant number, since it is smaller than the sum of its proper divisors (100081098).

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

55105830 is a wasteful number, since it uses less digits than its factorization.

55105830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55105830 is about 7423.3301152515. The cubic root of 55105830 is about 380.5390088610.

Adding to 55105830 its reverse (3850155), we get a palindrome (58955985).

The spelling of 55105830 in words is "fifty-five million, one hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 3623 5070 7246 7605 10869 15210 18115 21738 32607 36230 47099 54345 65214 94198 108690 141297 163035 235495 282594 326070 423891 470990 612287 706485 847782 1224574 1412970 1836861 2119455 3061435 3673722 4238910 5510583 6122870 9184305 11021166 18368610 27552915 55105830