Search a number
-
+
27413712 = 24321271499
BaseRepresentation
bin110100010010…
…0110011010000
31220120202112200
41220210303100
524004214322
62415323200
7452004234
oct150446320
956522480
1027413712
1114524367
129220500
1358aaa41
1438d85c4
1526178ac
hex1a24cd0

27413712 has 60 divisors (see below), whose sum is σ = 77376000. Its totient is φ = 9059904.

The previous prime is 27413699. The next prime is 27413731. The reversal of 27413712 is 21731472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17539 + ... + 19037.

It is an arithmetic number, because the mean of its divisors is an integer number (1289600).

Almost surely, 227413712 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 27413712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688000).

27413712 is an abundant number, since it is smaller than the sum of its proper divisors (49962288).

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

27413712 is a wasteful number, since it uses less digits than its factorization.

27413712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27413712 is about 5235.8105389710. The cubic root of 27413712 is about 301.5245064773.

The spelling of 27413712 in words is "twenty-seven million, four hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1499 1524 2032 2286 2998 3048 4497 4572 5996 6096 8994 9144 11992 13491 17988 18288 23984 26982 35976 53964 71952 107928 190373 215856 380746 571119 761492 1142238 1522984 1713357 2284476 3045968 3426714 4568952 6853428 9137904 13706856 27413712