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20217890 = 257211331
BaseRepresentation
bin100110100100…
…0000000100010
31102001011201202
41031020000202
520133433030
62001201202
7333564200
oct115100042
942034652
1020217890
111045a000
126930202
13425b664
142984070
151b95745
hex1348022

20217890 has 96 divisors (see below), whose sum is σ = 48066048. Its totient is φ = 6098400.

The previous prime is 20217839. The next prime is 20217931. The reversal of 20217890 is 9871202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652175 + ... + 652205.

It is an arithmetic number, because the mean of its divisors is an integer number (500688).

Almost surely, 220217890 is an apocalyptic number.

20217890 is an abundant number, since it is smaller than the sum of its proper divisors (27848158).

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

20217890 is a wasteful number, since it uses less digits than its factorization.

20217890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 20217890 is about 4496.4308067622. The cubic root of 20217890 is about 272.4239442095.

The spelling of 20217890 in words is "twenty million, two hundred seventeen thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 31 35 49 55 62 70 77 98 110 121 154 155 217 242 245 310 341 385 434 490 539 605 682 770 847 1078 1085 1210 1331 1519 1694 1705 2170 2387 2662 2695 3038 3410 3751 4235 4774 5390 5929 6655 7502 7595 8470 9317 11858 11935 13310 15190 16709 18634 18755 23870 26257 29645 33418 37510 41261 46585 52514 59290 65219 82522 83545 93170 130438 131285 167090 183799 206305 262570 288827 326095 367598 412610 577654 652190 918995 1444135 1837990 2021789 2888270 4043578 10108945 20217890