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20215008 = 253411709
BaseRepresentation
bin100110100011…
…1010011100000
31102001000210000
41031013103200
520133340013
62001140000
7333552612
oct115072340
942030700
1020215008
1110457920
12692a600
13425a258
142982db2
151b94973
hex13474e0

20215008 has 120 divisors (see below), whose sum is σ = 64947960. Its totient is φ = 6117120.

The previous prime is 20214991. The next prime is 20215021. The reversal of 20215008 is 80051202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28158 + ... + 28866.

It is an arithmetic number, because the mean of its divisors is an integer number (541233).

Almost surely, 220215008 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 20215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32473980).

20215008 is an abundant number, since it is smaller than the sum of its proper divisors (44732952).

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

20215008 is a wasteful number, since it uses less digits than its factorization.

20215008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20215008 is about 4496.1103189312. The cubic root of 20215008 is about 272.4109991871.

The spelling of 20215008 in words is "twenty million, two hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 709 792 864 891 1056 1188 1296 1418 1584 1782 2127 2376 2592 2836 3168 3564 4254 4752 5672 6381 7128 7799 8508 9504 11344 12762 14256 15598 17016 19143 22688 23397 25524 28512 31196 34032 38286 46794 51048 57429 62392 68064 70191 76572 93588 102096 114858 124784 140382 153144 187176 204192 210573 229716 249568 280764 306288 374352 421146 459432 561528 612576 631719 748704 842292 918864 1123056 1263438 1684584 1837728 2246112 2526876 3369168 5053752 6738336 10107504 20215008