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90163206 = 2357171559
BaseRepresentation
bin1010101111111…
…00100000000110
320021122202200000
411113330200012
5141040210311
612540302130
72143242330
oct527744006
9207582600
1090163206
1146992a51
1226241946
13158ab313
14bd90450
157db0056
hex55fc806

90163206 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 24230016.

The previous prime is 90163193. The next prime is 90163207. The reversal of 90163206 is 60236109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 90163206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90163207) 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, 57055 + ... + 58613.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 290163206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90163206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

90163206 is an abundant number, since it is smaller than the sum of its proper divisors (155143674).

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

90163206 is a wasteful number, since it uses less digits than its factorization.

90163206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90163206 is about 9495.4307959144. The cubic root of 90163206 is about 448.4111970578.

The spelling of 90163206 in words is "ninety million, one hundred sixty-three thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1559 1701 2142 2754 3118 3213 3402 4131 4677 6426 8262 9354 9639 10913 14031 19278 21826 26503 28062 28917 32739 42093 53006 57834 65478 79509 84186 98217 126279 159018 185521 196434 238527 252558 294651 371042 378837 477054 556563 589302 715581 757674 883953 1113126 1431162 1669689 1767906 2146743 2651859 3339378 4293486 5009067 5303718 6440229 10018134 12880458 15027201 30054402 45081603 90163206