Search a number
-
+
14007150 = 23252171831
BaseRepresentation
bin110101011011…
…101101101110
3222100122012100
4311123231232
512041212100
61220115530
7230026113
oct65335556
928318170
1014007150
1179a7863
124835ba6
132b95771
141c0890a
15136a400
hexd5bb6e

14007150 has 72 divisors (see below), whose sum is σ = 39867984. Its totient is φ = 3513600.

The previous prime is 14007143. The next prime is 14007157. The reversal of 14007150 is 5170041.

It is an interprime number because it is at equal distance from previous prime (14007143) and next prime (14007157).

It is a super-2 number, since 2×140071502 = 392400502245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6735 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (553722).

Almost surely, 214007150 is an apocalyptic number.

14007150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933992).

14007150 is an abundant number, since it is smaller than the sum of its proper divisors (25860834).

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

14007150 is a wasteful number, since it uses less digits than its factorization.

14007150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 14007150 is about 3742.6127237533. The cubic root of 14007150 is about 241.0552492375.

Adding to 14007150 its reverse (5170041), we get a palindrome (19177191).

The spelling of 14007150 in words is "fourteen million, seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 1831 2550 3662 3825 5493 7650 9155 10986 16479 18310 27465 31127 32958 45775 54930 62254 82395 91550 93381 137325 155635 164790 186762 274650 280143 311270 411975 466905 560286 778175 823950 933810 1400715 1556350 2334525 2801430 4669050 7003575 14007150