Search a number
-
+
36704 = 253137
BaseRepresentation
bin1000111101100000
31212100102
420331200
52133304
6441532
7212003
oct107540
955312
1036704
1125638
12192a8
1313925
14d53a
15ad1e
hex8f60

36704 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 17280.

The previous prime is 36697. The next prime is 36709. The reversal of 36704 is 40763.

36704 = T31 + T32 + ... + T62.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36709) 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 3 ways as a sum of consecutive naturals, for example, 974 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

236704 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 36704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

36704 is an abundant number, since it is smaller than the sum of its proper divisors (39904).

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

36704 is a wasteful number, since it uses less digits than its factorization.

36704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 36704 is about 191.5828802372. The cubic root of 36704 is about 33.2331212503.

The spelling of 36704 in words is "thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 18352 36704