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20320144 = 2413211463
BaseRepresentation
bin100110110000…
…0111110010000
31102020100222221
41031200332100
520200221034
62003310424
7334501255
oct115407620
942210887
1020320144
1110519909
12697b414
134296070
1429ad42c
151bb5bb4
hex1360f90

20320144 has 40 divisors (see below), whose sum is σ = 42691712. Its totient is φ = 9313920.

The previous prime is 20320103. The next prime is 20320171. The reversal of 20320144 is 44102302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43657 + ... + 44119.

Almost surely, 220320144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345856).

20320144 is an abundant number, since it is smaller than the sum of its proper divisors (22371568).

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

20320144 is a wasteful number, since it uses less digits than its factorization.

20320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20320144 is about 4507.7870402227. The cubic root of 20320144 is about 272.8824425537.

Adding to 20320144 its reverse (44102302), we get a palindrome (64422446).

The spelling of 20320144 in words is "twenty million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 422 463 844 926 1688 1852 2743 3376 3704 5486 6019 7408 10972 12038 21944 24076 43888 48152 96304 97693 195386 390772 781544 1270009 1563088 2540018 5080036 10160072 20320144