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8113168 = 247107677
BaseRepresentation
bin11110111100110000010000
3120021012011201
4132330300100
54034110133
6445520544
7125650360
oct36746020
916235151
108113168
1146415a8
122873154
1318b0abb
1411129a0
15aa3d7d
hex7bcc10

8113168 has 40 divisors (see below), whose sum is σ = 18159552. Its totient is φ = 3439488.

The previous prime is 8113163. The next prime is 8113211. The reversal of 8113168 is 8613118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8113163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11646 + ... + 12322.

Almost surely, 28113168 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 8113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079776).

8113168 is an abundant number, since it is smaller than the sum of its proper divisors (10046384).

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

8113168 is a wasteful number, since it uses less digits than its factorization.

8113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 8113168 is about 2848.3623365015. The cubic root of 8113168 is about 200.9386544143.

It can be divided in two parts, 8113 and 168, that added together give a square (8281 = 912).

The spelling of 8113168 in words is "eight million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 677 749 856 1354 1498 1712 2708 2996 4739 5416 5992 9478 10832 11984 18956 37912 72439 75824 144878 289756 507073 579512 1014146 1159024 2028292 4056584 8113168