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55355120 = 2455411279
BaseRepresentation
bin1101001100101…
…0011011110000
310212011022221122
43103022123300
5103132330440
65254241412
71241340122
oct323123360
9125138848
1055355120
1129279137
1216656268
13b611a12
1474cd212
154cd67b5
hex34ca6f0

55355120 has 40 divisors (see below), whose sum is σ = 129039360. Its totient is φ = 22083840.

The previous prime is 55355081. The next prime is 55355123. The reversal of 55355120 is 2155355.

55355120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 55355120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55355123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42641 + ... + 43919.

It is an arithmetic number, because the mean of its divisors is an integer number (3225984).

Almost surely, 255355120 is an apocalyptic number.

It is an amenable number.

55355120 is an abundant number, since it is smaller than the sum of its proper divisors (73684240).

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

55355120 is a wasteful number, since it uses less digits than its factorization.

55355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 55355120 is about 7440.1021498364. The cubic root of 55355120 is about 381.1119783467. Note that the first 3 decimals are identical.

The spelling of 55355120 in words is "fifty-five million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 541 1082 1279 2164 2558 2705 4328 5116 5410 6395 8656 10232 10820 12790 20464 21640 25580 43280 51160 102320 691939 1383878 2767756 3459695 5535512 6919390 11071024 13838780 27677560 55355120