[go: up one dir, main page]

Search a number
-
+
14216352 = 2531731281
BaseRepresentation
bin110110001110…
…110010100000
3222202021011120
4312032302200
512114410402
61224412240
7231560043
oct66166240
928667146
1014216352
11802aa57
124917080
132c39a57
141c60c5a
1513ac3bc
hexd8eca0

14216352 has 96 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 4300800.

The previous prime is 14216333. The next prime is 14216387. The reversal of 14216352 is 25361241.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50452 + ... + 50732.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 214216352 is an apocalyptic number.

14216352 is a gapful number since it is divisible by the number (12) 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 14216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466432).

14216352 is an abundant number, since it is smaller than the sum of its proper divisors (26716512).

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

14216352 is a wasteful number, since it uses less digits than its factorization.

14216352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 14216352 is about 3770.4577971382. The cubic root of 14216352 is about 242.2494070559.

Adding to 14216352 its reverse (25361241), we get a palindrome (39577593).

The spelling of 14216352 in words is "fourteen million, two hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 281 372 408 496 527 544 562 744 816 843 992 1054 1124 1488 1581 1632 1686 2108 2248 2976 3162 3372 4216 4496 4777 6324 6744 8432 8711 8992 9554 12648 13488 14331 16864 17422 19108 25296 26133 26976 28662 34844 38216 50592 52266 57324 69688 76432 104532 114648 139376 148087 152864 209064 229296 278752 296174 418128 444261 458592 592348 836256 888522 1184696 1777044 2369392 3554088 4738784 7108176 14216352