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53604 = 22321489
BaseRepresentation
bin1101000101100100
32201112100
431011210
53203404
61052100
7312165
oct150544
981470
1053604
1137301
1227030
131b525
141576c
1510d39
hexd164

53604 has 18 divisors (see below), whose sum is σ = 135590. Its totient is φ = 17856.

The previous prime is 53597. The next prime is 53609. The reversal of 53604 is 40635.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 14400 = 198^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (53609) 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 5 ways as a sum of consecutive naturals, for example, 709 + ... + 780.

253604 is an apocalyptic number.

It is an amenable number.

53604 is an abundant number, since it is smaller than the sum of its proper divisors (81986).

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

53604 is a wasteful number, since it uses less digits than its factorization.

53604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53604 is about 231.5253765789. The cubic root of 53604 is about 37.7050105093.

The spelling of 53604 in words is "fifty-three thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1489 2978 4467 5956 8934 13401 17868 26802 53604