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90334620 = 223253116189
BaseRepresentation
bin1010110001001…
…10010110011100
320021222110210200
411120212112130
5141111201440
612544103500
72144555145
oct530462634
9207873720
1090334620
1146a9a812
1226304b90
131593b34c
14bdd6acc
157de5c30
hex562659c

90334620 has 72 divisors (see below), whose sum is σ = 282871680. Its totient is φ = 23310720.

The previous prime is 90334619. The next prime is 90334667. The reversal of 90334620 is 2643309.

90334620 is a `hidden beast` number, since 9 + 0 + 3 + 34 + 620 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2515 + ... + 13674.

Almost surely, 290334620 is an apocalyptic number.

90334620 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 90334620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141435840).

90334620 is an abundant number, since it is smaller than the sum of its proper divisors (192537060).

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

90334620 is a wasteful number, since it uses less digits than its factorization.

90334620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16235 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 90334620 is about 9504.4526407363. The cubic root of 90334620 is about 448.6951831822.

Adding to 90334620 its reverse (2643309), we get a palindrome (92977929).

The spelling of 90334620 in words is "ninety million, three hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 16189 32378 48567 64756 80945 97134 145701 161890 194268 242835 291402 323780 485670 501859 582804 728505 971340 1003718 1457010 1505577 2007436 2509295 2914020 3011154 4516731 5018590 6022308 7527885 9033462 10037180 15055770 18066924 22583655 30111540 45167310 90334620