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8103168 = 28323517
BaseRepresentation
bin11110111010010100000000
3120020200110100
4132322110000
54033300133
6445402400
7125606253
oct36722400
916220410
108103168
114635037
122869400
1318a9398
14110d09a
15aa0e13
hex7ba500

8103168 has 54 divisors (see below), whose sum is σ = 23370074. Its totient is φ = 2700288.

The previous prime is 8103163. The next prime is 8103187. The reversal of 8103168 is 8613018.

It can be written as a sum of positive squares in only one way, i.e., 8020224 + 82944 = 2832^2 + 288^2 .

It is a super-2 number, since 2×81031682 = 131322663272448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 546 + ... + 4062.

Almost surely, 28103168 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 8103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685037).

8103168 is an abundant number, since it is smaller than the sum of its proper divisors (15266906).

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

8103168 is a wasteful number, since it uses less digits than its factorization.

8103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8103168 is about 2846.6064006111. The cubic root of 8103168 is about 200.8560638785.

The spelling of 8103168 in words is "eight million, one hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3517 7034 10551 14068 21102 28136 31653 42204 56272 63306 84408 112544 126612 168816 225088 253224 337632 450176 506448 675264 900352 1012896 1350528 2025792 2701056 4051584 8103168