Search a number
-
+
2140938 = 23341967
BaseRepresentation
bin1000001010101100001010
311000202211000
420022230022
51022002223
6113515430
724124542
oct10125412
94022730
102140938
111232578
12872b76
1359c637
143da322
152c4543
hex20ab0a

2140938 has 32 divisors (see below), whose sum is σ = 4878720. Its totient is φ = 695520.

The previous prime is 2140937. The next prime is 2140967. The reversal of 2140938 is 8390412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2140937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

22140938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439360).

2140938 is an abundant number, since it is smaller than the sum of its proper divisors (2737782).

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

2140938 is a wasteful number, since it uses less digits than its factorization.

2140938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2140938 is about 1463.1944505089. The cubic root of 2140938 is about 128.8846995710.

The spelling of 2140938 in words is "two million, one hundred forty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 967 1107 1934 2214 2901 5802 8703 17406 26109 39647 52218 79294 118941 237882 356823 713646 1070469 2140938