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1002120 = 233571193
BaseRepresentation
bin11110100101010001000
31212220122120
43310222020
5224031440
633251240
711342430
oct3645210
91786576
101002120
116249a9
12403b20
13291192
141c12c0
1514bdd0
hexf4a88

1002120 has 64 divisors (see below), whose sum is σ = 3438720. Its totient is φ = 228864.

The previous prime is 1002109. The next prime is 1002121. The reversal of 1002120 is 212001.

1002120 = T133 + T134 + ... + T202.

It is a happy number.

1002120 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1002099 and 1002108.

It is not an unprimeable number, because it can be changed into a prime (1002121) 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, 244 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (53730).

21002120 is an apocalyptic number.

1002120 is a gapful number since it is divisible by the number (10) 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 1002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719360).

1002120 is an abundant number, since it is smaller than the sum of its proper divisors (2436600).

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

1002120 is a wasteful number, since it uses less digits than its factorization.

1002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1002120 is about 1001.0594387947. The cubic root of 1002120 is about 100.0706167876.

Adding to 1002120 its reverse (212001), we get a palindrome (1214121).

The spelling of 1002120 in words is "one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1193 2386 3579 4772 5965 7158 8351 9544 11930 14316 16702 17895 23860 25053 28632 33404 35790 41755 47720 50106 66808 71580 83510 100212 125265 143160 167020 200424 250530 334040 501060 1002120