Search a number
-
+
2070936 = 233272587
BaseRepresentation
bin111111001100110011000
310220012210100
413321212120
51012232221
6112215400
723413500
oct7714630
93805710
102070936
111194a1a
1283a560
1357680a
143bca00
152ad926
hex1f9998

2070936 has 72 divisors (see below), whose sum is σ = 6535620. Its totient is φ = 590688.

The previous prime is 2070931. The next prime is 2070947. The reversal of 2070936 is 6390702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070931) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3235 + ... + 3821.

22070936 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 2070936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267810).

2070936 is an abundant number, since it is smaller than the sum of its proper divisors (4464684).

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

2070936 is a wasteful number, since it uses less digits than its factorization.

2070936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2070936 is about 1439.0747027170. The cubic root of 2070936 is about 127.4643960563.

The spelling of 2070936 in words is "two million, seventy thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 587 588 882 1174 1176 1761 1764 2348 3522 3528 4109 4696 5283 7044 8218 10566 12327 14088 16436 21132 24654 28763 32872 36981 42264 49308 57526 73962 86289 98616 115052 147924 172578 230104 258867 295848 345156 517734 690312 1035468 2070936