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55460 = 2254759
BaseRepresentation
bin1101100010100100
32211002002
431202210
53233320
61104432
7320456
oct154244
984062
1055460
1138739
1228118
131c322
14162d6
1511675
hexd8a4

55460 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 21344.

The previous prime is 55457. The next prime is 55469. The reversal of 55460 is 6455.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (55469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

255460 is an apocalyptic number.

It is a pronic number, being equal to 235×236.

It is an amenable number.

55460 is an abundant number, since it is smaller than the sum of its proper divisors (65500).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

55460 is a wasteful number, since it uses less digits than its factorization.

55460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55460 is about 235.4994692138. The cubic root of 55460 is about 38.1352521027.

It can be divided in two parts, 55 and 460, that added together give a palindrome (515).

The spelling of 55460 in words is "fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 47 59 94 118 188 235 236 295 470 590 940 1180 2773 5546 11092 13865 27730 55460