Search a number
-
+
14076288 = 27334073
BaseRepresentation
bin110101101100…
…100110000000
3222111011001000
4311230212000
512100420123
61221412000
7230434512
oct65544600
928434030
1014076288
117a447a6
12486a000
132bbb085
141c25bb2
151380b43
hexd6c980

14076288 has 64 divisors (see below), whose sum is σ = 41554800. Its totient is φ = 4690944.

The previous prime is 14076277. The next prime is 14076313. The reversal of 14076288 is 88267041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 5492.

Almost surely, 214076288 is an apocalyptic number.

14076288 is a gapful number since it is divisible by the number (18) 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 14076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777400).

14076288 is an abundant number, since it is smaller than the sum of its proper divisors (27478512).

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

14076288 is an equidigital number, since it uses as much as digits as its factorization.

14076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14076288 is about 3751.8379495922. The cubic root of 14076288 is about 241.4512073024.

The spelling of 14076288 in words is "fourteen million, seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4073 8146 12219 16292 24438 32584 36657 48876 65168 73314 97752 109971 130336 146628 195504 219942 260672 293256 391008 439884 521344 586512 782016 879768 1173024 1564032 1759536 2346048 3519072 4692096 7038144 14076288