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14012416 = 21211311
BaseRepresentation
bin110101011101…
…000000000000
3222100220102101
4311131000000
512041344131
61220200144
7230050345
oct65350000
928326371
1014012416
117a00810
124839054
132b97c92
141c0a7cc
15136bc61
hexd5d000

14012416 has 52 divisors (see below), whose sum is σ = 30667104. Its totient is φ = 6348800.

The previous prime is 14012393. The next prime is 14012417. The reversal of 14012416 is 61421041.

It is a junction number, because it is equal to n+sod(n) for n = 14012393 and 14012402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44901 + ... + 45211.

It is an arithmetic number, because the mean of its divisors is an integer number (589752).

Almost surely, 214012416 is an apocalyptic number.

14012416 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 14012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333552).

14012416 is an abundant number, since it is smaller than the sum of its proper divisors (16654688).

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

14012416 is an equidigital number, since it uses as much as digits as its factorization.

14012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14012416 is about 3743.3161768678. The cubic root of 14012416 is about 241.0854537616.

Adding to 14012416 its reverse (61421041), we get a palindrome (75433457).

The spelling of 14012416 in words is "fourteen million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 311 352 512 622 704 1024 1244 1408 2048 2488 2816 3421 4096 4976 5632 6842 9952 11264 13684 19904 22528 27368 39808 45056 54736 79616 109472 159232 218944 318464 437888 636928 875776 1273856 1751552 3503104 7006208 14012416