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33108140 = 22513294391
BaseRepresentation
bin111111001001…
…1000010101100
32022022001211102
41332103002230
531433430030
63141342232
7551262122
oct176230254
968261742
1033108140
11177636aa
12b107978
136b22920
14457b912
152d8ec45
hex1f930ac

33108140 has 48 divisors (see below), whose sum is σ = 77474880. Its totient is φ = 11800320.

The previous prime is 33108139. The next prime is 33108143. The reversal of 33108140 is 4180133.

It is a happy number.

It is a super-2 number, since 2×331081402 = 2192297868519200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33108143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5345 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 233108140 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 33108140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38737440).

33108140 is an abundant number, since it is smaller than the sum of its proper divisors (44366740).

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

33108140 is a wasteful number, since it uses less digits than its factorization.

33108140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 33108140 is about 5753.9673269841. The cubic root of 33108140 is about 321.1034174081.

Adding to 33108140 its reverse (4180133), we get a palindrome (37288273).

The spelling of 33108140 in words is "thirty-three million, one hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 4391 7540 8782 17564 21955 43910 57083 87820 114166 127339 228332 254678 285415 509356 570830 636695 1141660 1273390 1655407 2546780 3310814 6621628 8277035 16554070 33108140