Search a number
-
+
2158840 = 235311741
BaseRepresentation
bin1000001111000011111000
311001200101001
420033003320
51023040330
6114134344
724230665
oct10170370
94050331
102158840
111244a72
128813b4
135a7828
14402a6c
152c99ca
hex20f0f8

2158840 has 32 divisors (see below), whose sum is σ = 5016960. Its totient is φ = 835200.

The previous prime is 2158831. The next prime is 2158841. The reversal of 2158840 is 488512.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2158799 and 2158808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370 + ... + 2110.

It is an arithmetic number, because the mean of its divisors is an integer number (156780).

22158840 is an apocalyptic number.

2158840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508480).

2158840 is an abundant number, since it is smaller than the sum of its proper divisors (2858120).

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

2158840 is a wasteful number, since it uses less digits than its factorization.

2158840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2158840 is about 1469.2991526575. The cubic root of 2158840 is about 129.2429370338.

The spelling of 2158840 in words is "two million, one hundred fifty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1741 3482 6964 8705 13928 17410 34820 53971 69640 107942 215884 269855 431768 539710 1079420 2158840