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53660 = 2252683
BaseRepresentation
bin1101000110011100
32201121102
431012130
53204120
61052232
7312305
oct150634
981542
1053660
1137352
1227078
131b569
14157ac
1510d75
hexd19c

53660 has 12 divisors (see below), whose sum is σ = 112728. Its totient is φ = 21456.

The previous prime is 53657. The next prime is 53681. The reversal of 53660 is 6635.

53660 = T144 + T145 + ... + T148.

53660 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 (20), and also a Moran number because the ratio is a prime number: 2683 = 53660 / (5 + 3 + 6 + 6 + 0).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1322 + ... + 1361.

It is an arithmetic number, because the mean of its divisors is an integer number (9394).

253660 is an apocalyptic number.

It is an amenable number.

53660 is an abundant number, since it is smaller than the sum of its proper divisors (59068).

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 (56364).

53660 is a wasteful number, since it uses less digits than its factorization.

53660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 53660 is about 231.6462820768. The cubic root of 53660 is about 37.7181360580.

It can be divided in two parts, 53 and 660, that multiplied together give a triangular number (34980 = T264).

The spelling of 53660 in words is "fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 2683 5366 10732 13415 26830 53660