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20016150 = 23527111733
BaseRepresentation
bin100110001011…
…0110000010110
31101122220222220
41030112300112
520111004100
61553003210
7332064060
oct114266026
941586886
1020016150
1110331480
126853506
1341ba89b
142930730
151b55aa0
hex1316c16

20016150 has 96 divisors (see below), whose sum is σ = 61924608. Its totient is φ = 4156800.

The previous prime is 20016137. The next prime is 20016167. The reversal of 20016150 is 5161002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 10684 + ... + 12416.

It is an arithmetic number, because the mean of its divisors is an integer number (645048).

Almost surely, 220016150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20016150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30962304).

20016150 is an abundant number, since it is smaller than the sum of its proper divisors (41908458).

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

20016150 is a wasteful number, since it uses less digits than its factorization.

20016150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 20016150 is about 4473.9412155280. The cubic root of 20016150 is about 271.5148050763.

Adding to 20016150 its reverse (5161002), we get a palindrome (25177152).

The spelling of 20016150 in words is "twenty million, sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1733 1925 2310 3466 3850 5199 5775 8665 10398 11550 12131 17330 19063 24262 25995 36393 38126 43325 51990 57189 60655 72786 86650 95315 114378 121310 129975 133441 181965 190630 259950 266882 285945 303275 363930 400323 476575 571890 606550 667205 800646 909825 953150 1334410 1429725 1819650 2001615 2859450 3336025 4003230 6672050 10008075 20016150