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20275488 = 253331757
BaseRepresentation
bin100110101011…
…0000100100000
31102011002202000
41031112010200
520142303423
62002324000
7334224132
oct115260440
942132660
1020275488
1110499302
126959600
13427b93c
14299b052
151ba7843
hex1356120

20275488 has 96 divisors (see below), whose sum is σ = 61125120. Its totient is φ = 6531840.

The previous prime is 20275487. The next prime is 20275499. The reversal of 20275488 is 88457202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202754882 = 822190827276288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20275483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26406 + ... + 27162.

It is an arithmetic number, because the mean of its divisors is an integer number (636720).

Almost surely, 220275488 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 20275488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30562560).

20275488 is an abundant number, since it is smaller than the sum of its proper divisors (40849632).

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

20275488 is a wasteful number, since it uses less digits than its factorization.

20275488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20275488 is about 4502.8311094244. The cubic root of 20275488 is about 272.6823984350.

The spelling of 20275488 in words is "twenty million, two hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 757 837 864 992 1116 1488 1514 1674 2232 2271 2976 3028 3348 4464 4542 6056 6696 6813 8928 9084 12112 13392 13626 18168 20439 23467 24224 26784 27252 36336 40878 46934 54504 70401 72672 81756 93868 109008 140802 163512 187736 211203 218016 281604 327024 375472 422406 563208 633609 654048 750944 844812 1126416 1267218 1689624 2252832 2534436 3379248 5068872 6758496 10137744 20275488