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55365060 = 22352947677
BaseRepresentation
bin1101001100110…
…0110111000100
310212011211120210
43103030313010
5103133140220
65254355420
71241411112
oct323146704
9125154523
1055365060
1129285653
121665bb70
13b6163ba
1474d2ab2
154cd96e0
hex34ccdc4

55365060 has 96 divisors (see below), whose sum is σ = 164021760. Its totient is φ = 13931008.

The previous prime is 55365053. The next prime is 55365083. The reversal of 55365060 is 6056355.

55365060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 81442 + ... + 82118.

It is an arithmetic number, because the mean of its divisors is an integer number (1708560).

Almost surely, 255365060 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 55365060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82010880).

55365060 is an abundant number, since it is smaller than the sum of its proper divisors (108656700).

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

55365060 is a wasteful number, since it uses less digits than its factorization.

55365060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 55365060 is about 7440.7701214323. The cubic root of 55365060 is about 381.1347888012.

The spelling of 55365060 in words is "fifty-five million, three hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 47 58 60 87 94 116 141 145 174 188 235 282 290 348 435 470 564 580 677 705 870 940 1354 1363 1410 1740 2031 2708 2726 2820 3385 4062 4089 5452 6770 6815 8124 8178 10155 13540 13630 16356 19633 20310 20445 27260 31819 39266 40620 40890 58899 63638 78532 81780 95457 98165 117798 127276 159095 190914 196330 235596 294495 318190 381828 392660 477285 588990 636380 922751 954570 1177980 1845502 1909140 2768253 3691004 4613755 5536506 9227510 11073012 13841265 18455020 27682530 55365060