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27141696 = 2633113139
BaseRepresentation
bin110011110001…
…0011001000000
31220001221102000
41213202121000
523422013241
62405424000
7446462211
oct147423100
956057360
1027141696
1114358a5a
12910b000
135813c9a
143867408
1525b1eb6
hex19e2640

27141696 has 112 divisors (see below), whose sum is σ = 81076800. Its totient is φ = 8902656.

The previous prime is 27141677. The next prime is 27141721. The reversal of 27141696 is 69614172.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27141696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195195 + ... + 195333.

It is an arithmetic number, because the mean of its divisors is an integer number (723900).

Almost surely, 227141696 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 27141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40538400).

27141696 is an abundant number, since it is smaller than the sum of its proper divisors (53935104).

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

27141696 is a wasteful number, since it uses less digits than its factorization.

27141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27141696 is about 5209.7692847189. The cubic root of 27141696 is about 300.5238846172.

The spelling of 27141696 in words is "twenty-seven million, one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 139 144 192 216 226 278 288 339 417 432 452 556 576 678 834 864 904 1017 1112 1251 1356 1668 1728 1808 2034 2224 2502 2712 3051 3336 3616 3753 4068 4448 5004 5424 6102 6672 7232 7506 8136 8896 10008 10848 12204 13344 15012 15707 16272 20016 21696 24408 26688 30024 31414 32544 40032 47121 48816 60048 62828 65088 80064 94242 97632 120096 125656 141363 188484 195264 240192 251312 282726 376968 424089 502624 565452 753936 848178 1005248 1130904 1507872 1696356 2261808 3015744 3392712 4523616 6785424 9047232 13570848 27141696