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20357550 = 23252192381
BaseRepresentation
bin100110110101…
…0000110101110
31102022021022100
41031222012232
520202420200
62004155530
7335015313
oct115520656
942267270
1020357550
1110544a24
126998ba6
1342aa0b5
1429bcd0a
151bc1d00
hex136a1ae

20357550 has 72 divisors (see below), whose sum is σ = 57596760. Its totient is φ = 5140800.

The previous prime is 20357549. The next prime is 20357563. The reversal of 20357550 is 5575302.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7360 + ... + 9740.

It is an arithmetic number, because the mean of its divisors is an integer number (799955).

Almost surely, 220357550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20357550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28798380).

20357550 is an abundant number, since it is smaller than the sum of its proper divisors (37239210).

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

20357550 is a wasteful number, since it uses less digits than its factorization.

20357550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 20357550 is about 4511.9341750518. The cubic root of 20357550 is about 273.0497836192.

The spelling of 20357550 in words is "twenty million, three hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2381 2850 4275 4762 7143 8550 11905 14286 21429 23810 35715 42858 45239 59525 71430 90478 107145 119050 135717 178575 214290 226195 271434 357150 407151 452390 535725 678585 814302 1071450 1130975 1357170 2035755 2261950 3392925 4071510 6785850 10178775 20357550