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90011418 = 23729671103
BaseRepresentation
bin1010101110101…
…11011100011010
320021101001110020
411113113130122
5141020331133
612533131310
72142040650
oct527273432
9207331406
1090011418
1146899a02
1226189b36
13158571c3
14bd50dd0
157d800b3
hex55d771a

90011418 has 64 divisors (see below), whose sum is σ = 216207360. Its totient is φ = 24437952.

The previous prime is 90011407. The next prime is 90011419. The reversal of 90011418 is 81411009.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90011419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81055 + ... + 82157.

It is an arithmetic number, because the mean of its divisors is an integer number (3378240).

Almost surely, 290011418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90011418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108103680).

90011418 is an abundant number, since it is smaller than the sum of its proper divisors (126195942).

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

90011418 is a wasteful number, since it uses less digits than its factorization.

90011418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 90011418 is about 9487.4347428586. The cubic root of 90011418 is about 448.1594252171.

The spelling of 90011418 in words is "ninety million, eleven thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 67 87 134 174 201 203 402 406 469 609 938 1103 1218 1407 1943 2206 2814 3309 3886 5829 6618 7721 11658 13601 15442 23163 27202 31987 40803 46326 63974 73901 81606 95961 147802 191922 221703 223909 443406 447818 517307 671727 1034614 1343454 1551921 2143129 3103842 4286258 6429387 12858774 15001903 30003806 45005709 90011418