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20628150 = 23521131217
BaseRepresentation
bin100111010110…
…0001010110110
31102211000111120
41032230022312
520240100100
62014044410
7340223244
oct116541266
942730446
1020628150
111070a264
126aa9706
13437330a
142a4d794
151c270a0
hex13ac2b6

20628150 has 48 divisors (see below), whose sum is σ = 51652944. Its totient is φ = 5447680.

The previous prime is 20628149. The next prime is 20628151. The reversal of 20628150 is 5182602.

It is an interprime number because it is at equal distance from previous prime (20628149) and next prime (20628151).

It is a super-3 number, since 3×206281503 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20628150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628151) 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, 16342 + ... + 17558.

It is an arithmetic number, because the mean of its divisors is an integer number (1076103).

Almost surely, 220628150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20628150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25826472).

20628150 is an abundant number, since it is smaller than the sum of its proper divisors (31024794).

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

20628150 is a wasteful number, since it uses less digits than its factorization.

20628150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20628150 is about 4541.8223214917. The cubic root of 20628150 is about 274.2542882367.

The spelling of 20628150 in words is "twenty million, six hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1130 1217 1695 2434 2825 3390 3651 5650 6085 7302 8475 12170 16950 18255 30425 36510 60850 91275 137521 182550 275042 412563 687605 825126 1375210 2062815 3438025 4125630 6876050 10314075 20628150