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20556690 = 2357112809
BaseRepresentation
bin100111001101…
…0101110010010
31102200101110220
41032122232102
520230303230
62012333510
7336505020
oct116325622
942611426
1020556690
1110670600
126a74296
13434992b
142a31710
151c10d10
hex139ab92

20556690 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 4266240.

The previous prime is 20556673. The next prime is 20556691. The reversal of 20556690 is 9665502.

It is a super-2 number, since 2×205566902 = 845155007512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20556691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25006 + ... + 25814.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 220556690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20556690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

20556690 is an abundant number, since it is smaller than the sum of its proper divisors (41495790).

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

20556690 is a wasteful number, since it uses less digits than its factorization.

20556690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 20556690 is about 4533.9486102072. The cubic root of 20556690 is about 273.9372314351.

The spelling of 20556690 in words is "twenty million, five hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 809 847 1155 1210 1618 1694 1815 2310 2427 2541 3630 4045 4235 4854 5082 5663 8090 8470 8899 11326 12135 12705 16989 17798 24270 25410 26697 28315 33978 44495 53394 56630 62293 84945 88990 97889 124586 133485 169890 186879 195778 266970 293667 311465 373758 489445 587334 622930 685223 934395 978890 1370446 1468335 1868790 2055669 2936670 3426115 4111338 6852230 10278345 20556690