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20051460 = 2232511131941
BaseRepresentation
bin100110001111…
…1011000000100
31101201201102200
41030133120010
520113121320
61553434500
7332302032
oct114373004
941651380
1020051460
1110355a60
12686ba30
134200990
14293d552
151b61290
hex131f604

20051460 has 288 divisors, whose sum is σ = 77051520. Its totient is φ = 4147200.

The previous prime is 20051453. The next prime is 20051461. The reversal of 20051460 is 6415002.

It is a happy number.

20051460 is a `hidden beast` number, since 200 + 5 + 1 + 460 = 666.

It is a super-2 number, since 2×200514602 = 804122096263200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20051461) 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 95 ways as a sum of consecutive naturals, for example, 489040 + ... + 489080.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 220051460 is an apocalyptic number.

20051460 is a gapful number since it is divisible by the number (20) 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 20051460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

20051460 is an abundant number, since it is smaller than the sum of its proper divisors (57000060).

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

20051460 is a wasteful number, since it uses less digits than its factorization.

20051460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20051460 is about 4477.8856617828. The cubic root of 20051460 is about 271.6743688249.

Adding to 20051460 its reverse (6415002), we get a palindrome (26466462).

The spelling of 20051460 in words is "twenty million, fifty-one thousand, four hundred sixty".