Search a number
-
+
20774628 = 22327211777
BaseRepresentation
bin100111100111…
…1111011100100
31110002110102200
41033033323210
520304242003
62021134500
7341403300
oct117177344
943073380
1020774628
11107aa316
126b5a430
1343c4ba4
142a8ad00
151c556a3
hex13cfee4

20774628 has 54 divisors (see below), whose sum is σ = 61092486. Its totient is φ = 5935104.

The previous prime is 20774627. The next prime is 20774639. The reversal of 20774628 is 82647702.

20774628 is a `hidden beast` number, since 20 + 7 + 7 + 4 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 1695204 = 4368^2 + 1302^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20774592 and 20774601.

It is not an unprimeable number, because it can be changed into a prime (20774627) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4125 + ... + 7652.

Almost surely, 220774628 is an apocalyptic number.

20774628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20774628 is an abundant number, since it is smaller than the sum of its proper divisors (40317858).

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

20774628 is a wasteful number, since it uses less digits than its factorization.

20774628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20774628 is about 4557.9192621195. The cubic root of 20774628 is about 274.9019066117.

The spelling of 20774628 in words is "twenty million, seven hundred seventy-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 11777 23554 35331 47108 70662 82439 105993 141324 164878 211986 247317 329756 423972 494634 577073 741951 989268 1154146 1483902 1731219 2308292 2967804 3462438 5193657 6924876 10387314 20774628