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33036980 = 2254140289
BaseRepresentation
bin111111000000…
…1101010110100
32022011110012212
41332001222310
531424140410
63140032552
7550544504
oct176015264
968143185
1033036980
1117715199
12b092758
136ac9412
14455da04
152d78b05
hex1f81ab4

33036980 has 24 divisors (see below), whose sum is σ = 71071560. Its totient is φ = 12892160.

The previous prime is 33036961. The next prime is 33036989. The reversal of 33036980 is 8963033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 29203216 = 1958^2 + 5404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33036989) 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 7 ways as a sum of consecutive naturals, for example, 19325 + ... + 20964.

It is an arithmetic number, because the mean of its divisors is an integer number (2961315).

Almost surely, 233036980 is an apocalyptic number.

It is an amenable number.

33036980 is an abundant number, since it is smaller than the sum of its proper divisors (38034580).

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

33036980 is a wasteful number, since it uses less digits than its factorization.

33036980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40339 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33036980 is about 5747.7804411790. The cubic root of 33036980 is about 320.8732010201.

The spelling of 33036980 in words is "thirty-three million, thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 40289 80578 161156 201445 402890 805780 1651849 3303698 6607396 8259245 16518490 33036980