Search a number
-
+
27307896 = 23372112111
BaseRepresentation
bin110100000101…
…0111101111000
31220101101101120
41220022331320
523442323041
62413145240
7451053600
oct150127570
956341346
1027307896
1114461910
12918b220
135871825
1438abc00
1525e6366
hex1a0af78

27307896 has 96 divisors (see below), whose sum is σ = 86676480. Its totient is φ = 7089600.

The previous prime is 27307871. The next prime is 27307939. The reversal of 27307896 is 69870372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11881 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (902880).

Almost surely, 227307896 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 27307896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43338240).

27307896 is an abundant number, since it is smaller than the sum of its proper divisors (59368584).

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

27307896 is a wasteful number, since it uses less digits than its factorization.

27307896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 27307896 is about 5225.6957431523. The cubic root of 27307896 is about 301.1360481075.

It can be divided in two parts, 27307 and 896, that added together give a triangular number (28203 = T237).

The spelling of 27307896 in words is "twenty-seven million, three hundred seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2111 2156 3234 4222 4312 6333 6468 8444 12666 12936 14777 16888 23221 25332 29554 44331 46442 50664 59108 69663 88662 92884 103439 118216 139326 162547 177324 185768 206878 278652 310317 325094 354648 413756 487641 557304 620634 650188 827512 975282 1137829 1241268 1300376 1950564 2275658 2482536 3413487 3901128 4551316 6826974 9102632 13653948 27307896