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20310144 = 273227233
BaseRepresentation
bin100110101111…
…0100010000000
31102012212021120
41031132202000
520144411034
62003152240
7334430151
oct115364200
942185246
1020310144
1110512348
126975680
13429164a
1429a9928
151bb2c49
hex135e880

20310144 has 64 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 6711296.

The previous prime is 20310137. The next prime is 20310163. The reversal of 20310144 is 44101302.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87052 + ... + 87284.

Almost surely, 220310144 is an apocalyptic number.

20310144 is a gapful number since it is divisible by the number (24) 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 20310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

20310144 is an abundant number, since it is smaller than the sum of its proper divisors (34108896).

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

20310144 is a wasteful number, since it uses less digits than its factorization.

20310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20310144 is about 4506.6777120180. The cubic root of 20310144 is about 272.8376713456.

Adding to 20310144 its reverse (44101302), we get a palindrome (64411446).

The spelling of 20310144 in words is "twenty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 233 384 454 466 681 699 908 932 1362 1398 1816 1864 2724 2796 3632 3728 5448 5592 7264 7456 10896 11184 14528 14912 21792 22368 29056 29824 43584 44736 52891 87168 89472 105782 158673 211564 317346 423128 634692 846256 1269384 1692512 2538768 3385024 5077536 6770048 10155072 20310144