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14020920 = 23325172979
BaseRepresentation
bin110101011111…
…000100111000
3222101100002100
4311133010320
512042132140
61220303400
7230114214
oct65370470
928340070
1014020920
117a07141
124841b60
132b9bb04
141c0d944
15136e530
hexd5f138

14020920 has 192 divisors, whose sum is σ = 50544000. Its totient is φ = 3354624.

The previous prime is 14020913. The next prime is 14020931. The reversal of 14020920 is 2902041.

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

It is a junction number, because it is equal to n+sod(n) for n = 14020893 and 14020902.

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 47 ways as a sum of consecutive naturals, for example, 177441 + ... + 177519.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 214020920 is an apocalyptic number.

14020920 is a gapful number since it is divisible by the number (10) 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 14020920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272000).

14020920 is an abundant number, since it is smaller than the sum of its proper divisors (36523080).

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

14020920 is a wasteful number, since it uses less digits than its factorization.

14020920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14020920 is about 3744.4518958053. The cubic root of 14020920 is about 241.1342147102.

Adding to 14020920 its reverse (2902041), we get a palindrome (16922961).

The spelling of 14020920 in words is "fourteen million, twenty thousand, nine hundred twenty".