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2070864 = 243273197
BaseRepresentation
bin111111001100101010000
310220012200200
413321211100
51012231424
6112215200
723413335
oct7714520
93805620
102070864
111194964
1283a500
13576783
143bc98c
152ad8c9
hex1f9950

2070864 has 60 divisors (see below), whose sum is σ = 5904756. Its totient is φ = 677376.

The previous prime is 2070863. The next prime is 2070877. The reversal of 2070864 is 4680702.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 360000 = 1308^2 + 600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070863) 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, 10414 + ... + 10610.

22070864 is an apocalyptic number.

2070864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952378).

2070864 is an abundant number, since it is smaller than the sum of its proper divisors (3833892).

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

2070864 is a wasteful number, since it uses less digits than its factorization.

2070864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2070864 is about 1439.0496864250. The cubic root of 2070864 is about 127.4629188591.

The spelling of 2070864 in words is "two million, seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 197 219 292 394 438 584 591 657 788 876 1168 1182 1314 1576 1752 1773 2364 2628 3152 3504 3546 4728 5256 7092 9456 10512 14184 14381 28368 28762 43143 57524 86286 115048 129429 172572 230096 258858 345144 517716 690288 1035432 2070864