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8121096 = 2332149757
BaseRepresentation
bin11110111110101100001000
3120021121001100
4132332230020
54034333341
6450021400
7126012444
oct36765410
916247040
108121096
114647555
122877860
1318b45a9
141115824
15aa63b6
hex7beb08

8121096 has 48 divisors (see below), whose sum is σ = 22171500. Its totient is φ = 2685312.

The previous prime is 8121089. The next prime is 8121097. The reversal of 8121096 is 6901218.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 202500 = 2814^2 + 450^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (8121097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10350 + ... + 11106.

Almost surely, 28121096 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 8121096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085750).

8121096 is an abundant number, since it is smaller than the sum of its proper divisors (14050404).

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

8121096 is a wasteful number, since it uses less digits than its factorization.

8121096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8121096 is about 2849.7536735655. The cubic root of 8121096 is about 201.0040839743.

It can be divided in two parts, 8 and 121096, that added together give a square (121104 = 3482).

The spelling of 8121096 in words is "eight million, one hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 757 894 1192 1341 1514 1788 2271 2682 3028 3576 4542 5364 6056 6813 9084 10728 13626 18168 27252 54504 112793 225586 338379 451172 676758 902344 1015137 1353516 2030274 2707032 4060548 8121096