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2135144 = 2311191277
BaseRepresentation
bin1000001001010001101000
311000110212102
420021101220
51021311034
6113432532
724101624
oct10112150
94013772
102135144
111229190
1286b748
13599acb
143d8184
152c297e
hex209468

2135144 has 32 divisors (see below), whose sum is σ = 4600800. Its totient is φ = 918720.

The previous prime is 2135141. The next prime is 2135153. The reversal of 2135144 is 4415312.

It is not an unprimeable number, because it can be changed into a prime (2135141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (143775).

22135144 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 2135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300400).

2135144 is an abundant number, since it is smaller than the sum of its proper divisors (2465656).

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

2135144 is a wasteful number, since it uses less digits than its factorization.

2135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 2135144 is about 1461.2131945750. The cubic root of 2135144 is about 128.7683280535.

The spelling of 2135144 in words is "two million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1277 1672 2554 5108 10216 14047 24263 28094 48526 56188 97052 112376 194104 266893 533786 1067572 2135144