Search a number
-
+
14212416 = 26379937
BaseRepresentation
bin110110001101…
…110101000000
3222202001202210
4312031311000
512114244131
61224342120
7231542421
oct66156500
928661683
1014212416
118027aa9
124914940
132c3801a
141c5d648
1513ab146
hexd8dd40

14212416 has 56 divisors (see below), whose sum is σ = 38120320. Its totient is φ = 4672512.

The previous prime is 14212411. The next prime is 14212423. The reversal of 14212416 is 61421241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14212392 and 14212401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14700 + ... + 15636.

It is an arithmetic number, because the mean of its divisors is an integer number (680720).

Almost surely, 214212416 is an apocalyptic number.

14212416 is a gapful number since it is divisible by the number (16) 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 14212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19060160).

14212416 is an abundant number, since it is smaller than the sum of its proper divisors (23907904).

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

14212416 is an equidigital number, since it uses as much as digits as its factorization.

14212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 14212416 is about 3769.9358084721. The cubic root of 14212416 is about 242.2270482568.

Adding to 14212416 its reverse (61421241), we get a palindrome (75633657).

The spelling of 14212416 in words is "fourteen million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 937 948 1264 1874 1896 2528 2811 3748 3792 5056 5622 7496 7584 11244 14992 15168 22488 29984 44976 59968 74023 89952 148046 179904 222069 296092 444138 592184 888276 1184368 1776552 2368736 3553104 4737472 7106208 14212416