Search a number
-
+
2000376 = 233673
BaseRepresentation
bin111101000010111111000
310202122000000
413220113320
51003003001
6110513000
723001000
oct7502770
93678000
102000376
111146a04
12805760
13550671
143a1000
15297a86
hex1e85f8

2000376 has 112 divisors (see below), whose sum is σ = 6558000. Its totient is φ = 571536.

The previous prime is 2000371. The next prime is 2000381. The reversal of 2000376 is 6730002.

The cubic root of 2000376 is 126.

It is a perfect power (a cube), and thus also a powerful number.

2000376 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (2000371) and next prime (2000381).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000371) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 285765 + ... + 285771.

22000376 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 2000376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279000).

2000376 is an abundant number, since it is smaller than the sum of its proper divisors (4557624).

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

2000376 is an frugal number, since it uses more digits than its factorization.

2000376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2000376 is about 1414.3464922005.

Adding to 2000376 its reverse (6730002), we get a palindrome (8730378).

The spelling of 2000376 in words is "two million, three hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 343 378 392 441 486 504 567 588 648 686 729 756 882 972 1029 1134 1176 1323 1372 1458 1512 1701 1764 1944 2058 2268 2646 2744 2916 3087 3402 3528 3969 4116 4536 5103 5292 5832 6174 6804 7938 8232 9261 10206 10584 11907 12348 13608 15876 18522 20412 23814 24696 27783 31752 35721 37044 40824 47628 55566 71442 74088 83349 95256 111132 142884 166698 222264 250047 285768 333396 500094 666792 1000188 2000376