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20144457 = 3761151
BaseRepresentation
bin100110011011…
…0000101001001
31101220110000000
41030312011021
520124110312
61555433213
7333140124
oct114660511
941813000
1020144457
1110409913
1268b5809
1342340c8
1429653bb
151b7dadc
hex1336149

20144457 has 32 divisors (see below), whose sum is σ = 30910720. Its totient is φ = 13122000.

The previous prime is 20144437. The next prime is 20144461. The reversal of 20144457 is 75444102.

20144457 is a `hidden beast` number, since 201 + 4 + 4 + 457 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20144457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20144457.

It is not an unprimeable number, because it can be changed into a prime (20144417) 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 31 ways as a sum of consecutive naturals, for example, 133332 + ... + 133482.

It is an arithmetic number, because the mean of its divisors is an integer number (965960).

Almost surely, 220144457 is an apocalyptic number.

20144457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20144457 is a deficient number, since it is larger than the sum of its proper divisors (10766263).

20144457 is an frugal number, since it uses more digits than its factorization.

20144457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 20144457 is about 4488.2576797684. The cubic root of 20144457 is about 272.0937222082.

Adding to 20144457 its reverse (75444102), we get a palindrome (95588559).

The spelling of 20144457 in words is "twenty million, one hundred forty-four thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 61 81 151 183 243 453 549 729 1359 1647 2187 4077 4941 9211 12231 14823 27633 36693 44469 82899 110079 133407 248697 330237 746091 2238273 6714819 20144457