Search a number
-
+
14232480 = 2535149199
BaseRepresentation
bin110110010010…
…101110100000
3222210002021220
4312102232200
512120414410
61225015040
7231655053
oct66225640
928702256
1014232480
118041089
124924480
132c441b2
141c66a9a
1513b2070
hexd92ba0

14232480 has 96 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 3750912.

The previous prime is 14232473. The next prime is 14232481. The reversal of 14232480 is 8423241.

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 a self number, because there is not a number n which added to its sum of digits gives 14232480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14232481) 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 15 ways as a sum of consecutive naturals, for example, 71421 + ... + 71619.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 214232480 is an apocalyptic number.

14232480 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 14232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

14232480 is an abundant number, since it is smaller than the sum of its proper divisors (31127520).

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

14232480 is a wasteful number, since it uses less digits than its factorization.

14232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 14232480 is about 3772.5959232338. The cubic root of 14232480 is about 242.3409805227.

The spelling of 14232480 in words is "fourteen million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 199 240 298 398 447 480 596 597 745 796 894 995 1192 1194 1490 1592 1788 1990 2235 2384 2388 2980 2985 3184 3576 3980 4470 4768 4776 5960 5970 6368 7152 7960 8940 9552 11920 11940 14304 15920 17880 19104 23840 23880 29651 31840 35760 47760 59302 71520 88953 95520 118604 148255 177906 237208 296510 355812 444765 474416 593020 711624 889530 948832 1186040 1423248 1779060 2372080 2846496 3558120 4744160 7116240 14232480