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14281872 = 2431122459
BaseRepresentation
bin110110011110…
…110010010000
3222212121001020
4312132302100
512124004442
61230035440
7232252053
oct66366220
928777036
1014281872
118075200
124948b80
132c60817
141c7aa9a
1513c19ec
hexd9ec90

14281872 has 60 divisors (see below), whose sum is σ = 40570320. Its totient is φ = 4326080.

The previous prime is 14281849. The next prime is 14281907. The reversal of 14281872 is 27818241.

It is a happy number.

14281872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4579 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (676172).

Almost surely, 214281872 is an apocalyptic number.

14281872 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 14281872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285160).

14281872 is an abundant number, since it is smaller than the sum of its proper divisors (26288448).

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

14281872 is a wasteful number, since it uses less digits than its factorization.

14281872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2475 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 14281872 is about 3779.1364092872. The cubic root of 14281872 is about 242.6209946383.

The spelling of 14281872 in words is "fourteen million, two hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2459 2904 4918 5808 7377 9836 14754 19672 27049 29508 39344 54098 59016 81147 108196 118032 162294 216392 297539 324588 432784 595078 649176 892617 1190156 1298352 1785234 2380312 3570468 4760624 7140936 14281872