Search a number
-
+
14061000 = 2335343109
BaseRepresentation
bin110101101000…
…110111001000
3222110101001210
4311220313020
512044423000
61221213120
7230342112
oct65506710
928411053
1014061000
117a34268
1248611a0
132bb4125
141c203b2
15137b350
hexd68dc8

14061000 has 128 divisors (see below), whose sum is σ = 45302400. Its totient is φ = 3628800.

The previous prime is 14060983. The next prime is 14061001. The reversal of 14061000 is 16041.

14061000 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 (12).

It is not an unprimeable number, because it can be changed into a prime (14061001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128946 + ... + 129054.

It is an arithmetic number, because the mean of its divisors is an integer number (353925).

Almost surely, 214061000 is an apocalyptic number.

14061000 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 14061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651200).

14061000 is an abundant number, since it is smaller than the sum of its proper divisors (31241400).

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

14061000 is a wasteful number, since it uses less digits than its factorization.

14061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14061000 is about 3749.7999946664. The cubic root of 14061000 is about 241.3637637184.

Adding to 14061000 its reverse (16041), we get a palindrome (14077041).

The spelling of 14061000 in words is "fourteen million, sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 109 120 125 129 150 172 200 215 218 250 258 300 327 344 375 430 436 500 516 545 600 645 654 750 860 872 1000 1032 1075 1090 1290 1308 1500 1635 1720 2150 2180 2580 2616 2725 3000 3225 3270 4300 4360 4687 5160 5375 5450 6450 6540 8175 8600 9374 10750 10900 12900 13080 13625 14061 16125 16350 18748 21500 21800 23435 25800 27250 28122 32250 32700 37496 40875 43000 46870 54500 56244 64500 65400 70305 81750 93740 109000 112488 117175 129000 140610 163500 187480 234350 281220 327000 351525 468700 562440 585875 703050 937400 1171750 1406100 1757625 2343500 2812200 3515250 4687000 7030500 14061000