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5187168 = 253273183
BaseRepresentation
bin10011110010011001100000
3100202112110100
4103302121200
52311442133
6303102400
762042640
oct23623140
910675410
105187168
112a23218
1218a1a00
1310c803c
14990520
156c6e13
hex4f2660

5187168 has 144 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1416960.

The previous prime is 5187151. The next prime is 5187173. The reversal of 5187168 is 8617815.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62455 + ... + 62537.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

Almost surely, 25187168 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 5187168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5187168 is an abundant number, since it is smaller than the sum of its proper divisors (12424608).

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

5187168 is a wasteful number, since it uses less digits than its factorization.

5187168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 5187168 is about 2277.5355101513. The cubic root of 5187168 is about 173.1051962473.

The spelling of 5187168 in words is "five million, one hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 83 84 93 96 112 124 126 144 166 168 186 217 224 248 249 252 279 288 332 336 372 434 496 498 504 558 581 651 664 672 744 747 868 992 996 1008 1116 1162 1302 1328 1488 1494 1736 1743 1953 1992 2016 2232 2324 2573 2604 2656 2976 2988 3472 3486 3906 3984 4464 4648 5146 5208 5229 5976 6944 6972 7719 7812 7968 8928 9296 10292 10416 10458 11952 13944 15438 15624 18011 18592 20584 20832 20916 23157 23904 27888 30876 31248 36022 41168 41832 46314 54033 55776 61752 62496 72044 82336 83664 92628 108066 123504 144088 162099 167328 185256 216132 247008 288176 324198 370512 432264 576352 648396 741024 864528 1296792 1729056 2593584 5187168