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1216020 = 2235131559
BaseRepresentation
bin100101000111000010100
32021210001210
410220320110
5302403040
642021420
713223151
oct4507024
92253053
101216020
11760683
124a7870
13337650
14239228
15190480
hex128e14

1216020 has 48 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 299136.

The previous prime is 1216013. The next prime is 1216021. The reversal of 1216020 is 206121.

Added to its reverse (206121) it gives a triangular number (1422141 = T1686).

1216020 is a nontrivial binomial coefficient, being equal to C(1560, 2).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1215987 and 1216005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216021) 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, 1 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

21216020 is an apocalyptic number.

1216020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1216020 is the 1559-th triangular number and also the 780-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1216020 is an abundant number, since it is smaller than the sum of its proper divisors (2453100).

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

1216020 is a wasteful number, since it uses less digits than its factorization.

1216020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1216020 is about 1102.7329685831. The cubic root of 1216020 is about 106.7366511215.

Adding to 1216020 its reverse (206121), we get a triangular number (1422141 = T1686).

The spelling of 1216020 in words is "one million, two hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1559 3118 4677 6236 7795 9354 15590 18708 20267 23385 31180 40534 46770 60801 81068 93540 101335 121602 202670 243204 304005 405340 608010 1216020