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90065415 = 35111928729
BaseRepresentation
bin1010101111001…
…00101000000111
320021110210112010
411113210220013
5141024043130
612534225303
72142354246
oct527445007
9207423463
1090065415
1146926530
12261b5233
131587595b
14bd6695d
157d910b0
hex55e4a07

90065415 has 32 divisors (see below), whose sum is σ = 165484800. Its totient is φ = 41368320.

The previous prime is 90065411. The next prime is 90065441. The reversal of 90065415 is 51456009.

It is not a de Polignac number, because 90065415 - 22 = 90065411 is a prime.

It is a super-2 number, since 2×900654152 = 16223557958244450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90065411) 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 31 ways as a sum of consecutive naturals, for example, 11230 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (5171400).

Almost surely, 290065415 is an apocalyptic number.

90065415 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90065415 is a deficient number, since it is larger than the sum of its proper divisors (75419385).

90065415 is a wasteful number, since it uses less digits than its factorization.

90065415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28767.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 90065415 is about 9490.2800274807. The cubic root of 90065415 is about 448.2490228395.

The spelling of 90065415 in words is "ninety million, sixty-five thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 1045 3135 28729 86187 143645 316019 430935 545851 948057 1580095 1637553 2729255 4740285 6004361 8187765 18013083 30021805 90065415