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73104 = 2431523
BaseRepresentation
bin10001110110010000
310201021120
4101312100
54314404
61322240
7423063
oct216620
9121246
1073104
114aa19
1236380
1327375
141c8da
15169d9
hex11d90

73104 has 20 divisors (see below), whose sum is σ = 188976. Its totient is φ = 24352.

The previous prime is 73091. The next prime is 73121. The reversal of 73104 is 40137.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 714 + ... + 809.

273104 is an apocalyptic number.

It is an amenable number.

73104 is an abundant number, since it is smaller than the sum of its proper divisors (115872).

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 (94488).

73104 is a wasteful number, since it uses less digits than its factorization.

73104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 73104 is about 270.3775138579. The cubic root of 73104 is about 41.8132296364.

The spelling of 73104 in words is "seventy-three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1523 3046 4569 6092 9138 12184 18276 24368 36552 73104