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20890672 = 2411294093
BaseRepresentation
bin100111110110…
…0010000110000
31110022100121121
41033230100300
520322000142
62023432024
7342365515
oct117542060
943270547
1020890672
1110879520
126bb5614
13443595a
142abb30c
151c79c67
hex13ec430

20890672 has 40 divisors (see below), whose sum is σ = 45689040. Its totient is φ = 9166080.

The previous prime is 20890669. The next prime is 20890673. The reversal of 20890672 is 27609802.

It is a super-3 number, since 3×208906723 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20890673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3058 + ... + 7150.

It is an arithmetic number, because the mean of its divisors is an integer number (1142226).

Almost surely, 220890672 is an apocalyptic number.

20890672 is a gapful number since it is divisible by the number (22) 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 20890672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22844520).

20890672 is an abundant number, since it is smaller than the sum of its proper divisors (24798368).

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

20890672 is a wasteful number, since it uses less digits than its factorization.

20890672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 20890672 is about 4570.6314662200. The cubic root of 20890672 is about 275.4128103117.

The spelling of 20890672 in words is "twenty million, eight hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 4093 5104 8186 16372 32744 45023 65488 90046 118697 180092 237394 360184 474788 720368 949576 1305667 1899152 2611334 5222668 10445336 20890672