Search a number
-
+
27023424 = 263971451
BaseRepresentation
bin110011100010…
…1100001000000
31212211221011120
41213011201000
523404222144
62403112240
7445460331
oct147054100
955757146
1027023424
111428810a
129072680
1357a21bc
143836288
15258be19
hex19c5840

27023424 has 56 divisors (see below), whose sum is σ = 72286368. Its totient is φ = 8908800.

The previous prime is 27023411. The next prime is 27023461. The reversal of 27023424 is 42432072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 27023394 and 27023403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17899 + ... + 19349.

It is an arithmetic number, because the mean of its divisors is an integer number (1290828).

Almost surely, 227023424 is an apocalyptic number.

27023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143184).

27023424 is an abundant number, since it is smaller than the sum of its proper divisors (45262944).

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

27023424 is a wasteful number, since it uses less digits than its factorization.

27023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 27023424 is about 5198.4059095073. The cubic root of 27023424 is about 300.0867304792.

Adding to 27023424 its reverse (42432072), we get a palindrome (69455496).

The spelling of 27023424 in words is "twenty-seven million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1451 1552 2328 2902 3104 4353 4656 5804 6208 8706 9312 11608 17412 18624 23216 34824 46432 69648 92864 139296 140747 278592 281494 422241 562988 844482 1125976 1688964 2251952 3377928 4503904 6755856 9007808 13511712 27023424