Search a number
-
+
2070096 = 243761101
BaseRepresentation
bin111111001011001010000
310220011122020
413321121100
51012220341
6112211440
723411160
oct7713120
93804566
102070096
111194326
12839b80
13576312
143bc5a0
152ad566
hex1f9650

2070096 has 80 divisors (see below), whose sum is σ = 6273408. Its totient is φ = 576000.

The previous prime is 2070091. The next prime is 2070137. The reversal of 2070096 is 6900702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070091) 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 15 ways as a sum of consecutive naturals, for example, 20446 + ... + 20546.

22070096 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 2070096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136704).

2070096 is an abundant number, since it is smaller than the sum of its proper divisors (4203312).

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

2070096 is a wasteful number, since it uses less digits than its factorization.

2070096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2070096 is about 1438.7828189133. The cubic root of 2070096 is about 127.4471599576.

Adding to 2070096 its reverse (6900702), we get a palindrome (8970798).

The spelling of 2070096 in words is "two million, seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 101 112 122 168 183 202 244 303 336 366 404 427 488 606 707 732 808 854 976 1212 1281 1414 1464 1616 1708 2121 2424 2562 2828 2928 3416 4242 4848 5124 5656 6161 6832 8484 10248 11312 12322 16968 18483 20496 24644 33936 36966 43127 49288 73932 86254 98576 129381 147864 172508 258762 295728 345016 517524 690032 1035048 2070096