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14978385 = 335110951
BaseRepresentation
bin111001001000…
…110101010001
31001011222111000
4321020311101
512313302020
61253012213
7241212522
oct71106521
931158430
1014978385
118500534
125024069
133145866
141dbc849
1514ad090
hexe48d51

14978385 has 16 divisors (see below), whose sum is σ = 26628480. Its totient is φ = 7988400.

The previous prime is 14978357. The next prime is 14978393. The reversal of 14978385 is 58387941.

14978385 is a `hidden beast` number, since 1 + 497 + 83 + 85 = 666.

It is not a de Polignac number, because 14978385 - 29 = 14977873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14978385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55341 + ... + 55610.

It is an arithmetic number, because the mean of its divisors is an integer number (1664280).

Almost surely, 214978385 is an apocalyptic number.

14978385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14978385 is a deficient number, since it is larger than the sum of its proper divisors (11650095).

14978385 is a wasteful number, since it uses less digits than its factorization.

14978385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110965 (or 110959 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 14978385 is about 3870.1918557095. The cubic root of 14978385 is about 246.5026901003.

The spelling of 14978385 in words is "fourteen million, nine hundred seventy-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 110951 332853 554755 998559 1664265 2995677 4992795 14978385