Search a number
-
+
14076640 = 25597907
BaseRepresentation
bin110101101100…
…101011100000
3222111011112001
4311230223200
512100423030
61221413344
7230435524
oct65545340
928434461
1014076640
117a44a96
12486a254
132bbb296
141c25d84
151380cca
hexd6cae0

14076640 has 48 divisors (see below), whose sum is σ = 33635952. Its totient is φ = 5566464.

The previous prime is 14076637. The next prime is 14076649. The reversal of 14076640 is 4667041.

14076640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14076599 and 14076608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15067 + ... + 15973.

It is an arithmetic number, because the mean of its divisors is an integer number (700749).

Almost surely, 214076640 is an apocalyptic number.

14076640 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 14076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817976).

14076640 is an abundant number, since it is smaller than the sum of its proper divisors (19559312).

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

14076640 is an equidigital number, since it uses as much as digits as its factorization.

14076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 14076640 is about 3751.8848596406. The cubic root of 14076640 is about 241.4532199096.

The spelling of 14076640 in words is "fourteen million, seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 907 970 1552 1814 1940 3104 3628 3880 4535 7256 7760 9070 14512 15520 18140 29024 36280 72560 87979 145120 175958 351916 439895 703832 879790 1407664 1759580 2815328 3519160 7038320 14076640