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20890128 = 243779787
BaseRepresentation
bin100111110110…
…0001000010000
31110022022212110
41033230020100
520321441003
62023425320
7342364110
oct117541020
943268773
1020890128
1110879076
126bb5240
13443562c
142abb040
151c79a03
hex13ec210

20890128 has 80 divisors (see below), whose sum is σ = 62535680. Its totient is φ = 5885568.

The previous prime is 20890099. The next prime is 20890183. The reversal of 20890128 is 82109802.

It is a junction number, because it is equal to n+sod(n) for n = 20890095 and 20890104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26151 + ... + 26937.

It is an arithmetic number, because the mean of its divisors is an integer number (781696).

Almost surely, 220890128 is an apocalyptic number.

20890128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31267840).

20890128 is an abundant number, since it is smaller than the sum of its proper divisors (41645552).

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

20890128 is a wasteful number, since it uses less digits than its factorization.

20890128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 20890128 is about 4570.5719554559. The cubic root of 20890128 is about 275.4104196774.

The spelling of 20890128 in words is "twenty million, eight hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 787 948 1106 1264 1574 1659 1896 2212 2361 3148 3318 3792 4424 4722 5509 6296 6636 8848 9444 11018 12592 13272 16527 18888 22036 26544 33054 37776 44072 62173 66108 88144 124346 132216 186519 248692 264432 373038 435211 497384 746076 870422 994768 1305633 1492152 1740844 2611266 2984304 3481688 5222532 6963376 10445064 20890128