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90075015 = 32523293001
BaseRepresentation
bin1010101111001…
…10111110000111
320021111021200200
411113212332013
5141024400030
612534341543
72142424242
oct527467607
9207437620
1090075015
1146932768
12261ba8b3
131587a134
14bd6a259
157d93d60
hex55e6f87

90075015 has 48 divisors (see below), whose sum is σ = 168592320. Its totient is φ = 44352000.

The previous prime is 90074987. The next prime is 90075043. The reversal of 90075015 is 51057009.

It is an interprime number because it is at equal distance from previous prime (90074987) and next prime (90075043).

It is not a de Polignac number, because 90075015 - 26 = 90074951 is a prime.

It is a super-2 number, since 2×900750152 = 16227016654500450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90075015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28515 + ... + 31515.

It is an arithmetic number, because the mean of its divisors is an integer number (3512340).

Almost surely, 290075015 is an apocalyptic number.

90075015 is a deficient number, since it is larger than the sum of its proper divisors (78517305).

90075015 is a wasteful number, since it uses less digits than its factorization.

90075015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 90075015 is about 9490.7857946537. The cubic root of 90075015 is about 448.2649484410.

The spelling of 90075015 in words is "ninety million, seventy-five thousand, fifteen".

Divisors: 1 3 5 9 15 23 29 45 69 87 115 145 207 261 345 435 667 1035 1305 2001 3001 3335 6003 9003 10005 15005 27009 30015 45015 69023 87029 135045 207069 261087 345115 435145 621207 783261 1035345 1305435 2001667 3106035 3916305 6005001 10008335 18015003 30025005 90075015