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90336640 = 2751719223
BaseRepresentation
bin1010110001001…
…10110110000000
320021222120120111
411120212312000
5141111233030
612544121104
72144564062
oct530466600
9207876514
1090336640
1146aa1289
1226306194
131593c244
14bdd7732
157de662a
hex5626d80

90336640 has 192 divisors, whose sum is σ = 251825760. Its totient is φ = 30818304.

The previous prime is 90336629. The next prime is 90336641. The reversal of 90336640 is 4663309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90336641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3927669 + ... + 3927691.

Almost surely, 290336640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125912880).

90336640 is an abundant number, since it is smaller than the sum of its proper divisors (161489120).

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

90336640 is a wasteful number, since it uses less digits than its factorization.

90336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 90336640 is about 9504.5589061250. The cubic root of 90336640 is about 448.6985276272.

Adding to 90336640 its reverse (4663309), we get a palindrome (94999949).

The spelling of 90336640 in words is "ninety million, three hundred thirty-six thousand, six hundred forty".