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20858148 = 223623311
BaseRepresentation
bin100111110010…
…0010100100100
31110020201000000
41033210110210
520314430043
62023021300
7342201633
oct117442444
943221000
1020858148
1110857043
126b9a830
134423bcc
142aad51a
151c702d3
hex13e4524

20858148 has 84 divisors (see below), whose sum is σ = 57290688. Its totient is φ = 6629040.

The previous prime is 20858147. The next prime is 20858153. The reversal of 20858148 is 84185802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (20858147) 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 27 ways as a sum of consecutive naturals, for example, 66913 + ... + 67223.

It is an arithmetic number, because the mean of its divisors is an integer number (682032).

Almost surely, 220858148 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 20858148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645344).

20858148 is an abundant number, since it is smaller than the sum of its proper divisors (36432540).

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

20858148 is a wasteful number, since it uses less digits than its factorization.

20858148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 20858148 is about 4567.0721474485. The cubic root of 20858148 is about 275.2698090266.

The spelling of 20858148 in words is "twenty million, eight hundred fifty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 311 324 414 486 621 622 729 828 933 972 1242 1244 1458 1863 1866 2484 2799 2916 3726 3732 5589 5598 7153 7452 8397 11178 11196 14306 16767 16794 21459 22356 25191 28612 33534 33588 42918 50382 64377 67068 75573 85836 100764 128754 151146 193131 226719 257508 302292 386262 453438 579393 772524 906876 1158786 1738179 2317572 3476358 5214537 6952716 10429074 20858148