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14920976 = 2471271049
BaseRepresentation
bin111000111010…
…110100010000
31001002001201202
4320322310100
512304432401
61251450332
7240553250
oct70726420
931061652
1014920976
118471394
124bb69a8
1331256a5
141da5960
15149b06b
hexe3ad10

14920976 has 40 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 6338304.

The previous prime is 14920963. The next prime is 14920979. The reversal of 14920976 is 67902941.

It is not an unprimeable number, because it can be changed into a prime (14920979) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13700 + ... + 14748.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 214920976 is an apocalyptic number.

14920976 is a gapful number since it is divisible by the number (16) 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 14920976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

14920976 is an abundant number, since it is smaller than the sum of its proper divisors (18410224).

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

14920976 is a wasteful number, since it uses less digits than its factorization.

14920976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 14920976 is about 3862.7679195106. The cubic root of 14920976 is about 246.1873558947.

The spelling of 14920976 in words is "fourteen million, nine hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1049 1778 2032 2098 3556 4196 7112 7343 8392 14224 14686 16784 29372 58744 117488 133223 266446 532892 932561 1065784 1865122 2131568 3730244 7460488 14920976