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20628270 = 235513653
BaseRepresentation
bin100111010110…
…0001100101110
31102211000200000
41032230030232
520240101040
62014045130
7340223505
oct116541456
942730600
1020628270
111070a363
126aa97a6
1343733a0
142a4d83c
151c27130
hex13ac32e

20628270 has 96 divisors (see below), whose sum is σ = 59990112. Its totient is φ = 5069952.

The previous prime is 20628247. The next prime is 20628271. The reversal of 20628270 is 7282602.

It is a super-3 number, since 3×206282703 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628271) 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 47 ways as a sum of consecutive naturals, for example, 31264 + ... + 31916.

It is an arithmetic number, because the mean of its divisors is an integer number (624897).

Almost surely, 220628270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20628270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29995056).

20628270 is an abundant number, since it is smaller than the sum of its proper divisors (39361842).

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

20628270 is a wasteful number, since it uses less digits than its factorization.

20628270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

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

The square root of 20628270 is about 4541.8355320289. The cubic root of 20628270 is about 274.2548200416.

The spelling of 20628270 in words is "twenty million, six hundred twenty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 653 702 810 1053 1170 1215 1306 1755 1959 2106 2430 3159 3265 3510 3918 5265 5877 6318 6530 8489 9795 10530 11754 15795 16978 17631 19590 25467 29385 31590 35262 42445 50934 52893 58770 76401 84890 88155 105786 127335 152802 158679 176310 229203 254670 264465 317358 382005 458406 528930 687609 764010 793395 1146015 1375218 1586790 2062827 2292030 3438045 4125654 6876090 10314135 20628270