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93704 = 23131753
BaseRepresentation
bin10110111000001000
311202112112
4112320020
510444304
62001452
7540122
oct267010
9152475
1093704
1164446
1246288
1333860
1426212
151cb6e
hex16e08

93704 has 32 divisors (see below), whose sum is σ = 204120. Its totient is φ = 39936.

The previous prime is 93703. The next prime is 93719. The reversal of 93704 is 40739.

93704 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 84100 + 9604 = 290^2 + 98^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 93704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93704.

It is not an unprimeable number, because it can be changed into a prime (93701) 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, 1742 + ... + 1794.

293704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

93704 is an abundant number, since it is smaller than the sum of its proper divisors (110416).

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

93704 is a wasteful number, since it uses less digits than its factorization.

93704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 93704 is about 306.1110909458. Note that the first 3 decimals coincide. The cubic root of 93704 is about 45.4205836011.

It can be divided in two parts, 93 and 704, that added together give a palindrome (797).

The spelling of 93704 in words is "ninety-three thousand, seven hundred four".