Search a number
-
+
55351140 = 223513292447
BaseRepresentation
bin1101001100100…
…1011101100100
310212011010111020
43103021131210
5103132214030
65254211140
71241322405
oct323113544
9125133436
1055351140
1129276149
1216653ab0
13b60cc70
1474cb9ac
154cd5510
hex34c9764

55351140 has 96 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 13149696.

The previous prime is 55351139. The next prime is 55351159. The reversal of 55351140 is 4115355.

55351140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55351140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21397 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 255351140 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 55351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

55351140 is an abundant number, since it is smaller than the sum of its proper divisors (117379740).

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

55351140 is a wasteful number, since it uses less digits than its factorization.

55351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 55351140 is about 7439.8346755825. The cubic root of 55351140 is about 381.1028442200.

Adding to 55351140 its reverse (4115355), we get a palindrome (59466495).

The spelling of 55351140 in words is "fifty-five million, three hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 2447 3770 4524 4894 5655 7341 7540 9788 11310 12235 14682 22620 24470 29364 31811 36705 48940 63622 70963 73410 95433 127244 141926 146820 159055 190866 212889 283852 318110 354815 381732 425778 477165 636220 709630 851556 922519 954330 1064445 1419260 1845038 1908660 2128890 2767557 3690076 4257780 4612595 5535114 9225190 11070228 13837785 18450380 27675570 55351140