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20144436 = 22313139929
BaseRepresentation
bin100110011011…
…0000100110100
31101220102222020
41030312010310
520124110221
61555433140
7333140064
oct114660464
941812866
1020144436
11104098a4
1268b57b0
1342340b0
1429653a4
151b7dac6
hex1336134

20144436 has 48 divisors (see below), whose sum is σ = 51038400. Its totient is φ = 6147072.

The previous prime is 20144417. The next prime is 20144437. The reversal of 20144436 is 63444102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144437) 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 15 ways as a sum of consecutive naturals, for example, 21220 + ... + 22148.

It is an arithmetic number, because the mean of its divisors is an integer number (1063300).

Almost surely, 220144436 is an apocalyptic number.

20144436 is a gapful number since it is divisible by the number (26) 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 20144436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25519200).

20144436 is an abundant number, since it is smaller than the sum of its proper divisors (30893964).

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

20144436 is a wasteful number, since it uses less digits than its factorization.

20144436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20144436 is about 4488.2553403299. The cubic root of 20144436 is about 272.0936276583.

Adding to 20144436 its reverse (63444102), we get a palindrome (83588538).

The spelling of 20144436 in words is "twenty million, one hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 929 1668 1807 1858 2787 3614 3716 5421 5574 7228 10842 11148 12077 21684 24154 36231 48308 72462 129131 144924 258262 387393 516524 774786 1549572 1678703 3357406 5036109 6714812 10072218 20144436