Search a number
-
+
14000415 = 35111361107
BaseRepresentation
bin110101011010…
…000100011111
3222100021221220
4311122010133
512041003130
61220024423
7230000352
oct65320437
928307856
1014000415
1179a27a0
124832113
132b92690
141c06299
151368410
hexd5a11f

14000415 has 64 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 6105600.

The previous prime is 14000383. The next prime is 14000423. The reversal of 14000415 is 51400041.

It is not a de Polignac number, because 14000415 - 25 = 14000383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 14000394 and 14000403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130792 + ... + 130898.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 214000415 is an apocalyptic number.

14000415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14000415 is a deficient number, since it is larger than the sum of its proper divisors (12997857).

14000415 is a wasteful number, since it uses less digits than its factorization.

14000415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 14000415 is about 3741.7128430707. The cubic root of 14000415 is about 241.0166078441.

Adding to 14000415 its reverse (51400041), we get a palindrome (65400456).

The spelling of 14000415 in words is "fourteen million, four hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 11 13 15 33 39 55 61 65 107 143 165 183 195 305 321 429 535 671 715 793 915 1177 1391 1605 2013 2145 2379 3355 3531 3965 4173 5885 6527 6955 8723 10065 11895 15301 17655 19581 20865 26169 32635 43615 45903 71797 76505 84851 97905 130845 215391 229515 254553 358985 424255 933361 1076955 1272765 2800083 4666805 14000415