Search a number
-
+
27071856 = 24327107251
BaseRepresentation
bin110011101000…
…1010101110000
31212221101121100
41213101111300
523412244411
62404124400
7446051460
oct147212560
955841540
1027071856
1114310539
129096700
1357bb266
143849ba0
15259b456
hex19d1570

27071856 has 120 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 7632000.

The previous prime is 27071839. The next prime is 27071857. The reversal of 27071856 is 65817072.

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 27071856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27071857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107731 + ... + 107981.

Almost surely, 227071856 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 27071856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

27071856 is an abundant number, since it is smaller than the sum of its proper divisors (60672528).

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

27071856 is a wasteful number, since it uses less digits than its factorization.

27071856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 27071856 is about 5203.0621752964. The cubic root of 27071856 is about 300.2658975919.

The spelling of 27071856 in words is "twenty-seven million, seventy-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 251 252 321 336 428 502 504 642 749 753 856 963 1004 1008 1284 1498 1506 1712 1757 1926 2008 2247 2259 2568 2996 3012 3514 3852 4016 4494 4518 5136 5271 5992 6024 6741 7028 7704 8988 9036 10542 11984 12048 13482 14056 15408 15813 17976 18072 21084 26857 26964 28112 31626 35952 36144 42168 53714 53928 63252 80571 84336 107428 107856 126504 161142 187999 214856 241713 253008 322284 375998 429712 483426 563997 644568 751996 966852 1127994 1289136 1503992 1691991 1933704 2255988 3007984 3383982 3867408 4511976 6767964 9023952 13535928 27071856