Search a number
-
+
14002320 = 2435411423
BaseRepresentation
bin110101011010…
…100010010000
3222100101120110
4311122202100
512041033240
61220041320
7230006043
oct65324220
928311513
1014002320
1179a4172
124833240
132b934c7
141c06c5a
151368c80
hexd5a890

14002320 has 80 divisors (see below), whose sum is σ = 44497152. Its totient is φ = 3640320.

The previous prime is 14002319. The next prime is 14002321. The reversal of 14002320 is 2320041.

It is an interprime number because it is at equal distance from previous prime (14002319) and next prime (14002321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14002296 and 14002305.

It is not an unprimeable number, because it can be changed into a prime (14002321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9129 + ... + 10551.

Almost surely, 214002320 is an apocalyptic number.

14002320 is a gapful number since it is divisible by the number (10) 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 14002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22248576).

14002320 is an abundant number, since it is smaller than the sum of its proper divisors (30494832).

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

14002320 is a wasteful number, since it uses less digits than its factorization.

14002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14002320 is about 3741.9673969718. The cubic root of 14002320 is about 241.0275388490.

Adding to 14002320 its reverse (2320041), we get a palindrome (16322361).

The spelling of 14002320 in words is "fourteen million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1423 1640 1968 2460 2846 3280 4269 4920 5692 7115 8538 9840 11384 14230 17076 21345 22768 28460 34152 42690 56920 58343 68304 85380 113840 116686 170760 175029 233372 291715 341520 350058 466744 583430 700116 875145 933488 1166860 1400232 1750290 2333720 2800464 3500580 4667440 7001160 14002320