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2171240 = 2351731103
BaseRepresentation
bin1000010010000101101000
311002022101022
420102011220
51023434430
6114312012
724312101
oct10220550
94068338
102171240
111253315
12888608
135b0376
144073a8
152cd4e5
hex212168

2171240 has 64 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 783360.

The previous prime is 2171231. The next prime is 2171243. The reversal of 2171240 is 421712.

Together with 3220119 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2171243) by changing a digit.

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, 21029 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

22171240 is an apocalyptic number.

2171240 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 2171240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680).

2171240 is an abundant number, since it is smaller than the sum of its proper divisors (3220120).

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

2171240 is a wasteful number, since it uses less digits than its factorization.

2171240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2171240 is about 1473.5128095812. The cubic root of 2171240 is about 129.4899143917.

Adding to 2171240 its reverse (421712), we get a palindrome (2592952).

The spelling of 2171240 in words is "two million, one hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 103 124 136 155 170 206 248 310 340 412 515 527 620 680 824 1030 1054 1240 1751 2060 2108 2635 3193 3502 4120 4216 5270 6386 7004 8755 10540 12772 14008 15965 17510 21080 25544 31930 35020 54281 63860 70040 108562 127720 217124 271405 434248 542810 1085620 2171240