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20028024 = 2332436469
BaseRepresentation
bin100110001100…
…1101001111000
31101200112021200
41030121221320
520111344044
61553134200
7332143512
oct114315170
941615250
1020028024
111033a395
12685a360
1341c3103
142934bb2
151b59369
hex1319a78

20028024 has 48 divisors (see below), whose sum is σ = 55512600. Its totient is φ = 6519744.

The previous prime is 20028017. The next prime is 20028031. The reversal of 20028024 is 42082002.

It is an interprime number because it is at equal distance from previous prime (20028017) and next prime (20028031).

It is a super-2 number, since 2×200280242 = 802243490689152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20027988 and 20028006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139 + ... + 6330.

Almost surely, 220028024 is an apocalyptic number.

20028024 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 20028024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27756300).

20028024 is an abundant number, since it is smaller than the sum of its proper divisors (35484576).

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

20028024 is a wasteful number, since it uses less digits than its factorization.

20028024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6517 counting only the distinct ones).

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

The square root of 20028024 is about 4475.2680366655. The cubic root of 20028024 is about 271.5684838890.

It can be divided in two parts, 200 and 28024, that added together give a square (28224 = 1682).

The spelling of 20028024 in words is "twenty million, twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 6469 12938 19407 25876 38814 51752 58221 77628 116442 155256 232884 278167 465768 556334 834501 1112668 1669002 2225336 2503503 3338004 5007006 6676008 10014012 20028024