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5271168 = 27373753
BaseRepresentation
bin10100000110111010000000
3100220210200110
4110012322000
52322134133
6304551320
762542560
oct24067200
910823613
105271168
112a80341
121922540
131127346
149b2da0
156e1c63
hex506e80

5271168 has 128 divisors (see below), whose sum is σ = 16744320. Its totient is φ = 1437696.

The previous prime is 5271157. The next prime is 5271169. The reversal of 5271168 is 8611725.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5271169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99430 + ... + 99482.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 25271168 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 5271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372160).

5271168 is an abundant number, since it is smaller than the sum of its proper divisors (11473152).

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

5271168 is a wasteful number, since it uses less digits than its factorization.

5271168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 5271168 is about 2295.9024369515. The cubic root of 5271168 is about 174.0346079926.

The spelling of 5271168 in words is "five million, two hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 53 56 64 74 84 96 106 111 112 128 148 159 168 192 212 222 224 259 296 318 336 371 384 424 444 448 518 592 636 672 742 777 848 888 896 1036 1113 1184 1272 1344 1484 1554 1696 1776 1961 2072 2226 2368 2544 2688 2968 3108 3392 3552 3922 4144 4452 4736 5088 5883 5936 6216 6784 7104 7844 8288 8904 10176 11766 11872 12432 13727 14208 15688 16576 17808 20352 23532 23744 24864 27454 31376 33152 35616 41181 47064 47488 49728 54908 62752 71232 82362 94128 99456 109816 125504 142464 164724 188256 219632 251008 329448 376512 439264 658896 753024 878528 1317792 1757056 2635584 5271168