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2070288 = 2432111307
BaseRepresentation
bin111111001011100010000
310220011220100
413321130100
51012222123
6112212400
723411553
oct7713420
93804810
102070288
111194490
1283a100
1357642c
143bc69a
152ad643
hex1f9710

2070288 has 60 divisors (see below), whose sum is σ = 6325488. Its totient is φ = 626880.

The previous prime is 2070287. The next prime is 2070301. The reversal of 2070288 is 8820702.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2070283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931 + ... + 2237.

22070288 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 2070288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162744).

2070288 is an abundant number, since it is smaller than the sum of its proper divisors (4255200).

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

2070288 is a wasteful number, since it uses less digits than its factorization.

2070288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2070288 is about 1438.8495404315. The cubic root of 2070288 is about 127.4511000483.

The spelling of 2070288 in words is "two million, seventy thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1307 1584 2614 3921 5228 7842 10456 11763 14377 15684 20912 23526 28754 31368 43131 47052 57508 62736 86262 94104 115016 129393 172524 188208 230032 258786 345048 517572 690096 1035144 2070288