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55605 = 3511337
BaseRepresentation
bin1101100100110101
32211021110
431210311
53234410
61105233
7321054
oct154465
984243
1055605
1138860
1228219
131c404
141639b
1511720
hexd935

55605 has 16 divisors (see below), whose sum is σ = 97344. Its totient is φ = 26880.

The previous prime is 55603. The next prime is 55609. The reversal of 55605 is 50655.

55605 = T95 + T96 + ... + T105.

It is not a de Polignac number, because 55605 - 21 = 55603 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

255605 is an apocalyptic number.

55605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55605 is a deficient number, since it is larger than the sum of its proper divisors (41739).

55605 is a wasteful number, since it uses less digits than its factorization.

55605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55605 is about 235.8071245743. The cubic root of 55605 is about 38.1684580138.

Subtracting from 55605 its reverse (50655), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 5560 and 5, that added together give a triangular number (5565 = T105).

The spelling of 55605 in words is "fifty-five thousand, six hundred five".

Divisors: 1 3 5 11 15 33 55 165 337 1011 1685 3707 5055 11121 18535 55605