Search a number
-
+
2120958 = 233731181
BaseRepresentation
bin1000000101110011111110
310222202102000
420011303332
51020332313
6113243130
724012360
oct10056376
93882360
102120958
111219564
128634a6
13593508
143d2d30
152bd673
hex205cfe

2120958 has 64 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 583200.

The previous prime is 2120957. The next prime is 2120977. The reversal of 2120958 is 8590212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11628 + ... + 11808.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22120958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795520).

2120958 is an abundant number, since it is smaller than the sum of its proper divisors (3470082).

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

2120958 is a wasteful number, since it uses less digits than its factorization.

2120958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2120958 is about 1456.3509192499. The cubic root of 2120958 is about 128.4825131266.

The spelling of 2120958 in words is "two million, one hundred twenty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 181 186 189 217 279 362 378 434 543 558 651 837 1086 1267 1302 1629 1674 1953 2534 3258 3801 3906 4887 5611 5859 7602 9774 11222 11403 11718 16833 22806 33666 34209 39277 50499 68418 78554 100998 117831 151497 235662 302994 353493 706986 1060479 2120958