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2166140 = 2251723277
BaseRepresentation
bin1000010000110101111100
311002001101102
420100311330
51023304030
6114232232
724261164
oct10206574
94061342
102166140
11124a4a9
12885678
135aac52
144055a4
152cbc45
hex210d7c

2166140 has 48 divisors (see below), whose sum is σ = 5044032. Its totient is φ = 777216.

The previous prime is 2166137. The next prime is 2166161. The reversal of 2166140 is 416612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7682 + ... + 7958.

It is an arithmetic number, because the mean of its divisors is an integer number (105084).

22166140 is an apocalyptic number.

2166140 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 2166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522016).

2166140 is an abundant number, since it is smaller than the sum of its proper divisors (2877892).

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

2166140 is a wasteful number, since it uses less digits than its factorization.

2166140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2166140 is about 1471.7812337437. The cubic root of 2166140 is about 129.3884491297.

The spelling of 2166140 in words is "two million, one hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 277 340 391 460 554 782 1108 1385 1564 1955 2770 3910 4709 5540 6371 7820 9418 12742 18836 23545 25484 31855 47090 63710 94180 108307 127420 216614 433228 541535 1083070 2166140