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2101740 = 2235231523
BaseRepresentation
bin1000000001000111101100
310221210001020
420001013230
51014223430
6113014140
723602344
oct10010754
93853036
102101740
111206083
12854350
13587844
143c9d24
152b7b10
hex2011ec

2101740 has 48 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 535744.

The previous prime is 2101733. The next prime is 2101741. The reversal of 2101740 is 471012.

2101740 = T279 + T280 + ... + T324.

2101740 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21017402 = 8834622055200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2101741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

22101740 is an apocalyptic number.

2101740 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 2101740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2101740 is an abundant number, since it is smaller than the sum of its proper divisors (4043028).

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

2101740 is a wasteful number, since it uses less digits than its factorization.

2101740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2101740 is about 1449.7379073474. The cubic root of 2101740 is about 128.0932751118.

Adding to 2101740 its reverse (471012), we get a palindrome (2572752).

The spelling of 2101740 in words is "two million, one hundred one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1523 3046 4569 6092 7615 9138 15230 18276 22845 30460 35029 45690 70058 91380 105087 140116 175145 210174 350290 420348 525435 700580 1050870 2101740