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90670860 = 22335717283
BaseRepresentation
bin1010110011110…
…00011100001100
320022121120001000
411121320130030
5141202431420
612555220300
72150455350
oct531703414
9208546030
1090670860
11471aa3a5
1226447690
1315a283c7
14c083460
157e60690
hex567870c

90670860 has 288 divisors, whose sum is σ = 346590720. Its totient is φ = 19270656.

The previous prime is 90670859. The next prime is 90670871. The reversal of 90670860 is 6807609.

It is a super-4 number, since 4×906708604 (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1092379 + ... + 1092461.

It is an arithmetic number, because the mean of its divisors is an integer number (1203440).

Almost surely, 290670860 is an apocalyptic number.

90670860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90670860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173295360).

90670860 is an abundant number, since it is smaller than the sum of its proper divisors (255919860).

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

90670860 is a wasteful number, since it uses less digits than its factorization.

90670860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 90670860 is about 9522.1247628877. The cubic root of 90670860 is about 449.2511991295.

The spelling of 90670860 in words is "ninety million, six hundred seventy thousand, eight hundred sixty".