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2140020 = 223451321
BaseRepresentation
bin1000001010011101110100
311000201120000
420022131310
51021440040
6113511300
724122061
oct10123564
94021500
102140020
111231913
12872530
1359c0ac
143d9c68
152c4130
hex20a774

2140020 has 60 divisors (see below), whose sum is σ = 6718404. Its totient is φ = 570240.

The previous prime is 2140013. The next prime is 2140049. The reversal of 2140020 is 200412.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 685584 = 1206^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2139984 and 2140011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 960 + ... + 2280.

22140020 is an apocalyptic number.

2140020 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 2140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359202).

2140020 is an abundant number, since it is smaller than the sum of its proper divisors (4578384).

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

2140020 is a wasteful number, since it uses less digits than its factorization.

2140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2140020 is about 1462.8807196761. The cubic root of 2140020 is about 128.8662757043.

Adding to 2140020 its reverse (200412), we get a palindrome (2340432).

The spelling of 2140020 in words is "two million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1321 1620 2642 3963 5284 6605 7926 11889 13210 15852 19815 23778 26420 35667 39630 47556 59445 71334 79260 107001 118890 142668 178335 214002 237780 356670 428004 535005 713340 1070010 2140020