Search a number
-
+
14426016 = 2531119719
BaseRepresentation
bin110111000001…
…111110100000
31000010220202220
4313001332200
512143113031
61233111040
7233422233
oct67017640
930126686
1014426016
118163530
1249b8480
132cb1307
141cb741a
1513ee596
hexdc1fa0

14426016 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4135680.

The previous prime is 14426003. The next prime is 14426029. The reversal of 14426016 is 61062441.

14426016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14426003) and next prime (14426029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19705 + ... + 20423.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 214426016 is an apocalyptic number.

14426016 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 14426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14426016 is an abundant number, since it is smaller than the sum of its proper divisors (29119584).

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

14426016 is a wasteful number, since it uses less digits than its factorization.

14426016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14426016 is about 3798.1595543105. The cubic root of 14426016 is about 243.4345051658.

Adding to 14426016 its reverse (61062441), we get a palindrome (75488457).

The spelling of 14426016 in words is "fourteen million, four hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 719 836 912 1056 1254 1438 1672 1824 2157 2508 2876 3344 4314 5016 5752 6688 7909 8628 10032 11504 13661 15818 17256 20064 23008 23727 27322 31636 34512 40983 47454 54644 63272 69024 81966 94908 109288 126544 150271 163932 189816 218576 253088 300542 327864 379632 437152 450813 601084 655728 759264 901626 1202168 1311456 1803252 2404336 3606504 4808672 7213008 14426016