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20628216 = 2333721949
BaseRepresentation
bin100111010110…
…0001011111000
31102211000121000
41032230023320
520240100331
62014045000
7340223400
oct116541370
942730530
1020628216
111070a314
126aa9760
13437335b
142a4d800
151c270e6
hex13ac2f8

20628216 has 96 divisors (see below), whose sum is σ = 66690000. Its totient is φ = 5890752.

The previous prime is 20628211. The next prime is 20628221. The reversal of 20628216 is 61282602.

20628216 is a `hidden beast` number, since 20 + 628 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (20628211) and next prime (20628221).

It is a super-3 number, since 3×206282163 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20628216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9610 + ... + 11558.

Almost surely, 220628216 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 20628216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345000).

20628216 is an abundant number, since it is smaller than the sum of its proper divisors (46061784).

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

20628216 is a wasteful number, since it uses less digits than its factorization.

20628216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20628216 is about 4541.8295872919. The cubic root of 20628216 is about 274.2545807296.

The spelling of 20628216 in words is "twenty million, six hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 1949 2646 3528 3898 5292 5847 7796 10584 11694 13643 15592 17541 23388 27286 35082 40929 46776 52623 54572 70164 81858 95501 105246 109144 122787 140328 163716 191002 210492 245574 286503 327432 368361 382004 420984 491148 573006 736722 764008 859509 982296 1146012 1473444 1719018 2292024 2578527 2946888 3438036 5157054 6876072 10314108 20628216