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14955941 = 7111367223
BaseRepresentation
bin111001000011…
…010110100101
31001010211200202
4321003112211
512312042231
61252320245
7241060220
oct71032645
931124622
1014955941
118495690
125013085
133138590
141db45b7
1514a65cb
hexe435a5

14955941 has 32 divisors (see below), whose sum is σ = 20471808. Its totient is φ = 10549440.

The previous prime is 14955929. The next prime is 14955943.

14955941 is nontrivially palindromic in base 10.

14955941 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14955941 is a prime.

14955941 is strictly pandigital in base 8.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14955895 and 14955904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14955943) 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, 66956 + ... + 67178.

It is an arithmetic number, because the mean of its divisors is an integer number (639744).

Almost surely, 214955941 is an apocalyptic number.

14955941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14955941 is a deficient number, since it is larger than the sum of its proper divisors (5515867).

14955941 is a wasteful number, since it uses less digits than its factorization.

14955941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its digits is 32400, while the sum is 38.

The square root of 14955941 is about 3867.2911708326. The cubic root of 14955941 is about 246.3795065477.

The spelling of 14955941 in words is "fourteen million, nine hundred fifty-five thousand, nine hundred forty-one".

Divisors: 1 7 11 13 67 77 91 143 223 469 737 871 1001 1561 2453 2899 5159 6097 9581 14941 17171 20293 31889 67067 104587 164351 194233 223223 1150457 1359631 2136563 14955941