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20416050 = 23452712
BaseRepresentation
bin100110111100…
…0011000110010
31102102020120000
41031320120302
520211303200
62005330430
7335351004
oct115703062
942366500
1020416050
1110584976
126a06a16
1342ca905
1429d6374
151bd4300
hex1378632

20416050 has 90 divisors (see below), whose sum is σ = 57536589. Its totient is φ = 5367600.

The previous prime is 20416043. The next prime is 20416057. The reversal of 20416050 is 5061402.

It is a happy number.

20416050 is a `hidden beast` number, since 20 + 41 + 605 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20416043) and next prime (20416057).

It can be written as a sum of positive squares in 2 ways, for example, as 20007729 + 408321 = 4473^2 + 639^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3195.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20416057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 287515 + ... + 287585.

Almost surely, 220416050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416050

20416050 is an abundant number, since it is smaller than the sum of its proper divisors (37120539).

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

20416050 is an equidigital number, since it uses as much as digits as its factorization.

20416050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20416050 is about 4518.4123317820. The cubic root of 20416050 is about 273.3110812079.

Multiplying 20416050 by its sum of digits (18), we get a square (367488900 = 191702).

20416050 divided by its sum of digits (18) gives a square (1134225 = 10652).

Adding to 20416050 its reverse (5061402), we get a palindrome (25477452).

The spelling of 20416050 in words is "twenty million, four hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 71 75 81 90 135 142 150 162 213 225 270 355 405 426 450 639 675 710 810 1065 1278 1350 1775 1917 2025 2130 3195 3550 3834 4050 5041 5325 5751 6390 9585 10082 10650 11502 15123 15975 19170 25205 28755 30246 31950 45369 47925 50410 57510 75615 90738 95850 126025 136107 143775 151230 226845 252050 272214 287550 378075 408321 453690 680535 756150 816642 1134225 1361070 2041605 2268450 3402675 4083210 6805350 10208025 20416050