Search a number
-
+
14249088 = 273371931
BaseRepresentation
bin110110010110…
…110010000000
3222210221002000
4312112302000
512121432323
61225224000
7232054350
oct66266200
928727060
1014249088
118052607
124932000
132c4b919
141c6cb60
1513b6e43
hexd96c80

14249088 has 256 divisors, whose sum is σ = 52224000. Its totient is φ = 3732480.

The previous prime is 14249071. The next prime is 14249093. The reversal of 14249088 is 88094241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459633 + ... + 459663.

It is an arithmetic number, because the mean of its divisors is an integer number (204000).

Almost surely, 214249088 is an apocalyptic number.

14249088 is a gapful number since it is divisible by the number (18) 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 14249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26112000).

14249088 is an abundant number, since it is smaller than the sum of its proper divisors (37974912).

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

14249088 is a wasteful number, since it uses less digits than its factorization.

14249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14249088 is about 3774.7964183516. The cubic root of 14249088 is about 242.4352071202.

The spelling of 14249088 in words is "fourteen million, two hundred forty-nine thousand, eighty-eight".