Search a number
-
+
14597380 = 2257127821
BaseRepresentation
bin110111101011…
…110100000100
31000110121211201
4313223310010
512214104010
61240512244
7235034650
oct67536404
930417751
1014597380
118270256
124a7b684
133041305
141d1da60
15143523a
hexdebd04

14597380 has 48 divisors (see below), whose sum is σ = 35352576. Its totient is φ = 4959360.

The previous prime is 14597371. The next prime is 14597393. The reversal of 14597380 is 8379541.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 17370 + ... + 18190.

It is an arithmetic number, because the mean of its divisors is an integer number (736512).

Almost surely, 214597380 is an apocalyptic number.

14597380 is a gapful number since it is divisible by the number (10) 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 14597380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676288).

14597380 is an abundant number, since it is smaller than the sum of its proper divisors (20755196).

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

14597380 is a wasteful number, since it uses less digits than its factorization.

14597380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 14597380 is about 3820.6517768569. The cubic root of 14597380 is about 244.3946180966.

The spelling of 14597380 in words is "fourteen million, five hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 821 889 1270 1642 1778 2540 3284 3556 4105 4445 5747 8210 8890 11494 16420 17780 22988 28735 57470 104267 114940 208534 417068 521335 729869 1042670 1459738 2085340 2919476 3649345 7298690 14597380