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2158180 = 22529612
BaseRepresentation
bin1000001110111001100100
311001122110121
420032321210
51023030210
6114131324
724226033
oct10167144
94048417
102158180
111244522
12880b44
135a743b
1440271a
152c96da
hex20ee64

2158180 has 36 divisors (see below), whose sum is σ = 4766580. Its totient is φ = 819840.

The previous prime is 2158171. The next prime is 2158181. The reversal of 2158180 is 818512.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 1340964 = 904^2 + 1158^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35350 + ... + 35410.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

22158180 is an apocalyptic number.

2158180 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 2158180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383290).

2158180 is an abundant number, since it is smaller than the sum of its proper divisors (2608400).

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

2158180 is a wasteful number, since it uses less digits than its factorization.

2158180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 2158180 is about 1469.0745386127. The cubic root of 2158180 is about 129.2297649858.

The spelling of 2158180 in words is "two million, one hundred fifty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 3721 7076 7442 8845 14884 17690 18605 35380 37210 74420 107909 215818 431636 539545 1079090 2158180