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20142144 = 2632112172
BaseRepresentation
bin100110011010…
…1100001000000
31101220022211100
41030311201000
520124022034
61555414400
7333130311
oct114654100
941808740
1020142144
1110408100
1268b4400
134233039
142964608
151b7d099
hex1335840

20142144 has 189 divisors, whose sum is σ = 67411981. Its totient is φ = 5744640.

The previous prime is 20142131. The next prime is 20142163. The reversal of 20142144 is 44124102.

The square root of 20142144 is 4488.

It is a perfect power (a square), and thus also a powerful number.

20142144 is a `hidden beast` number, since 201 + 421 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 4460544 = 3960^2 + 2112^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1184824 + ... + 1184840.

Almost surely, 220142144 is an apocalyptic number.

20142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20142144 is the 4488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142144

20142144 is an abundant number, since it is smaller than the sum of its proper divisors (47269837).

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

20142144 is a wasteful number, since it uses less digits than its factorization.

20142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The cubic root of 20142144 is about 272.0833078153.

Multiplying 20142144 by its product of nonzero digits (256), we get a square (5156388864 = 718082).

Adding to 20142144 its reverse (44124102), we get a palindrome (64266246).

The spelling of 20142144 in words is "twenty million, one hundred forty-two thousand, one hundred forty-four".