Search a number
-
+
801696 = 25371193
BaseRepresentation
bin11000011101110100000
31111201201110
43003232200
5201123241
625103320
76546210
oct3035640
91451643
10801696
114a8365
12327b40
13220b9c
1416c240
1510c816
hexc3ba0

801696 has 48 divisors (see below), whose sum is σ = 2407104. Its totient is φ = 228864.

The previous prime is 801683. The next prime is 801701. The reversal of 801696 is 696108.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

801696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (50148).

2801696 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 801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203552).

801696 is an abundant number, since it is smaller than the sum of its proper divisors (1605408).

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

801696 is a wasteful number, since it uses less digits than its factorization.

801696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 801696 is about 895.3747818651. The cubic root of 801696 is about 92.8973314908.

The spelling of 801696 in words is "eight hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1193 2386 3579 4772 7158 8351 9544 14316 16702 19088 25053 28632 33404 38176 50106 57264 66808 100212 114528 133616 200424 267232 400848 801696