Search a number
-
+
2680938 = 234131967
BaseRepresentation
bin1010001110100001101010
312001012120000
422032201222
51141242223
6133243430
731534101
oct12164152
95035500
102680938
111571257
12a93576
1372b370
144db038
1537e543
hex28e86a

2680938 has 80 divisors (see below), whose sum is σ = 6911520. Its totient is φ = 769824.

The previous prime is 2680907. The next prime is 2680943. The reversal of 2680938 is 8390862.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39981 + ... + 40047.

It is an arithmetic number, because the mean of its divisors is an integer number (86394).

22680938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455760).

2680938 is an abundant number, since it is smaller than the sum of its proper divisors (4230582).

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

2680938 is a wasteful number, since it uses less digits than its factorization.

2680938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2680938 is about 1637.3570166582. The cubic root of 2680938 is about 138.9191946194.

The spelling of 2680938 in words is "two million, six hundred eighty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 67 78 81 114 117 134 162 171 201 234 247 342 351 402 494 513 603 702 741 871 1026 1053 1206 1273 1482 1539 1742 1809 2106 2223 2546 2613 3078 3618 3819 4446 5226 5427 6669 7638 7839 10854 11457 13338 15678 16549 20007 22914 23517 33098 34371 40014 47034 49647 68742 70551 99294 103113 141102 148941 206226 297882 446823 893646 1340469 2680938