Search a number
-
+
55356760 = 23517127641
BaseRepresentation
bin1101001100101…
…0110101011000
310212011102012101
43103022311120
5103132404020
65254253144
71241344654
oct323126530
9125142171
1055356760
112927a398
12166571b4
13b6126a4
1474cda64
154cd700a
hex34cad58

55356760 has 64 divisors (see below), whose sum is σ = 133125120. Its totient is φ = 20643840.

The previous prime is 55356757. The next prime is 55356827. The reversal of 55356760 is 6765355.

55356760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 86040 + ... + 86680.

It is an arithmetic number, because the mean of its divisors is an integer number (2080080).

Almost surely, 255356760 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 55356760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66562560).

55356760 is an abundant number, since it is smaller than the sum of its proper divisors (77768360).

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

55356760 is a wasteful number, since it uses less digits than its factorization.

55356760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 37.

The square root of 55356760 is about 7440.2123625606. The cubic root of 55356760 is about 381.1157420303.

The spelling of 55356760 in words is "fifty-five million, three hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 127 136 170 254 340 508 635 641 680 1016 1270 1282 2159 2540 2564 3205 4318 5080 5128 6410 8636 10795 10897 12820 17272 21590 21794 25640 43180 43588 54485 81407 86360 87176 108970 162814 217940 325628 407035 435880 651256 814070 1383919 1628140 2767838 3256280 5535676 6919595 11071352 13839190 27678380 55356760