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14140320 = 253589331
BaseRepresentation
bin110101111100…
…001110100000
3222121101212120
4311330032200
512104442240
61223024240
7231122265
oct65741640
928541776
1014140320
117a88917
12489b080
132c1126c
141c4126c
151394ad0
hexd7c3a0

14140320 has 96 divisors (see below), whose sum is σ = 45178560. Its totient is φ = 3717120.

The previous prime is 14140297. The next prime is 14140339. The reversal of 14140320 is 2304141.

14140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14140320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42555 + ... + 42885.

It is an arithmetic number, because the mean of its divisors is an integer number (470610).

Almost surely, 214140320 is an apocalyptic number.

14140320 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 14140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589280).

14140320 is an abundant number, since it is smaller than the sum of its proper divisors (31038240).

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

14140320 is a wasteful number, since it uses less digits than its factorization.

14140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14140320 is about 3760.3616847319. The cubic root of 14140320 is about 241.8167681596.

Adding to 14140320 its reverse (2304141), we get a palindrome (16444461).

The spelling of 14140320 in words is "fourteen million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 331 356 445 480 534 662 712 890 993 1068 1324 1335 1424 1655 1780 1986 2136 2648 2670 2848 3310 3560 3972 4272 4965 5296 5340 6620 7120 7944 8544 9930 10592 10680 13240 14240 15888 19860 21360 26480 29459 31776 39720 42720 52960 58918 79440 88377 117836 147295 158880 176754 235672 294590 353508 441885 471344 589180 707016 883770 942688 1178360 1414032 1767540 2356720 2828064 3535080 4713440 7070160 14140320