Search a number
-
+
14207976 = 2332414813
BaseRepresentation
bin110110001100…
…101111101000
3222201211200100
4312030233220
512114123401
61224305400
7231523446
oct66145750
928654610
1014207976
118024732
124912260
132c35cb3
141c5bb96
1513a9b86
hexd8cbe8

14207976 has 48 divisors (see below), whose sum is σ = 39426660. Its totient is φ = 4619520.

The previous prime is 14207969. The next prime is 14207983. The reversal of 14207976 is 67970241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14207969) and next prime (14207983).

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 324900 = 3726^2 + 570^2 .

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 14207976.

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 11 ways as a sum of consecutive naturals, for example, 546 + ... + 5358.

Almost surely, 214207976 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 14207976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713330).

14207976 is an abundant number, since it is smaller than the sum of its proper divisors (25218684).

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

14207976 is a wasteful number, since it uses less digits than its factorization.

14207976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 14207976 is about 3769.3468930307. The cubic root of 14207976 is about 242.2018214854.

The spelling of 14207976 in words is "fourteen million, two hundred seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4813 9626 14439 19252 28878 38504 43317 57756 86634 115512 173268 197333 346536 394666 591999 789332 1183998 1578664 1775997 2367996 3551994 4735992 7103988 14207976