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33099990 = 23572112389
BaseRepresentation
bin111111001000…
…1000011010110
32022021122122120
41332101003112
531433144430
63141240410
7551226300
oct176210326
968248576
1033099990
1117758570
12b103106
136b1bcc1
144578970
152d8c610
hex1f910d6

33099990 has 192 divisors, whose sum is σ = 106375680. Its totient is φ = 6504960.

The previous prime is 33099959. The next prime is 33100007. The reversal of 33099990 is 9999033.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 371866 + ... + 371954.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 233099990 is an apocalyptic number.

33099990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33099990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

33099990 is an abundant number, since it is smaller than the sum of its proper divisors (73275690).

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

33099990 is a wasteful number, since it uses less digits than its factorization.

33099990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 33099990 is about 5753.2590763844. The cubic root of 33099990 is about 321.0770673160.

The spelling of 33099990 in words is "thirty-three million, ninety-nine thousand, nine hundred ninety".