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2120020 = 225719797
BaseRepresentation
bin1000000101100101010100
310222201010021
420011211110
51020320040
6113234524
724006550
oct10054524
93881107
102120020
111218891
12862a44
13592c66
143d2860
152bd24a
hex205954

2120020 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 687744.

The previous prime is 2120017. The next prime is 2120021. The reversal of 2120020 is 200212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2119985 and 2120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120021) 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, 2262 + ... + 3058.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22120020 is an apocalyptic number.

2120020 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 2120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2120020 is an abundant number, since it is smaller than the sum of its proper divisors (3242540).

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

2120020 is a wasteful number, since it uses less digits than its factorization.

2120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2120020 is about 1456.0288458681. The cubic root of 2120020 is about 128.4635697422.

Adding to 2120020 its reverse (200212), we get a palindrome (2320232).

The spelling of 2120020 in words is "two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 797 1330 1594 2660 3188 3985 5579 7970 11158 15143 15940 22316 27895 30286 55790 60572 75715 106001 111580 151430 212002 302860 424004 530005 1060010 2120020