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20028672 = 28328693
BaseRepresentation
bin100110001100…
…1110100000000
31101200120011200
41030121310000
520111404142
61553141200
7332145426
oct114316400
941616150
1020028672
111033a924
12685a800
1341c34b1
142935116
151b5964c
hex1319d00

20028672 has 54 divisors (see below), whose sum is σ = 57754242. Its totient is φ = 6675456.

The previous prime is 20028667. The next prime is 20028677. The reversal of 20028672 is 27682002.

It is an interprime number because it is at equal distance from previous prime (20028667) and next prime (20028677).

It can be written as a sum of positive squares in only one way, i.e., 12278016 + 7750656 = 3504^2 + 2784^2 .

It is a super-2 number, since 2×200286722 = 802295404167168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20028677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2043 + ... + 6650.

It is an arithmetic number, because the mean of its divisors is an integer number (1069523).

Almost surely, 220028672 is an apocalyptic number.

It is an amenable number.

20028672 is an abundant number, since it is smaller than the sum of its proper divisors (37725570).

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

20028672 is an equidigital number, since it uses as much as digits as its factorization.

20028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20028672 is about 4475.3404339782. The cubic root of 20028672 is about 271.5714126931.

The spelling of 20028672 in words is "twenty million, twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 8693 17386 26079 34772 52158 69544 78237 104316 139088 156474 208632 278176 312948 417264 556352 625896 834528 1112704 1251792 1669056 2225408 2503584 3338112 5007168 6676224 10014336 20028672