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2141220 = 2235127281
BaseRepresentation
bin1000001010110000100100
311000210012110
420022300210
51022004340
6113521020
724125424
oct10126044
94023173
102141220
111232804
12873170
1359c7c3
143da484
152c4680
hex20ac24

2141220 has 48 divisors (see below), whose sum is σ = 6064128. Its totient is φ = 564480.

The previous prime is 2141219. The next prime is 2141257. The reversal of 2141220 is 221412.

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 = 2141196 and 2141205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7480 + ... + 7760.

It is an arithmetic number, because the mean of its divisors is an integer number (126336).

22141220 is an apocalyptic number.

2141220 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 2141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032064).

2141220 is an abundant number, since it is smaller than the sum of its proper divisors (3922908).

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

2141220 is a wasteful number, since it uses less digits than its factorization.

2141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2141220 is about 1463.2908118347. The cubic root of 2141220 is about 128.8903581327.

Adding to 2141220 its reverse (221412), we get a palindrome (2362632).

The spelling of 2141220 in words is "two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 281 381 508 562 635 762 843 1124 1270 1405 1524 1686 1905 2540 2810 3372 3810 4215 5620 7620 8430 16860 35687 71374 107061 142748 178435 214122 356870 428244 535305 713740 1070610 2141220