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90693324 = 223323291259
BaseRepresentation
bin1010110011111…
…01111011001100
320022122200212000
411121331323030
5141204141244
612555512300
72150611011
oct531757314
9208580760
1090693324
1147215267
1226458690
1315a356b7
14c08b708
157e67169
hex567decc

90693324 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 27897408.

The previous prime is 90693313. The next prime is 90693331. The reversal of 90693324 is 42339609.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71407 + ... + 72665.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 290693324 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 90693324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

90693324 is an abundant number, since it is smaller than the sum of its proper divisors (163322676).

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

90693324 is a wasteful number, since it uses less digits than its factorization.

90693324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 90693324 is about 9523.3042585019. The cubic root of 90693324 is about 449.2882972137.

The spelling of 90693324 in words is "ninety million, six hundred ninety-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 348 414 522 621 667 783 828 1044 1242 1259 1334 1566 2001 2484 2518 2668 3132 3777 4002 5036 6003 7554 8004 11331 12006 15108 18009 22662 24012 28957 33993 36018 36511 45324 57914 67986 72036 73022 86871 109533 115828 135972 146044 173742 219066 260613 328599 347484 438132 521226 657198 781839 839753 985797 1042452 1314396 1563678 1679506 1971594 2519259 3127356 3359012 3943188 5038518 7557777 10077036 15115554 22673331 30231108 45346662 90693324