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2142820 = 225195639
BaseRepresentation
bin1000001011001001100100
311000212101201
420023021210
51022032240
6113532244
724133201
oct10131144
94025351
102142820
111233a29
12874084
135a0454
143daca8
152c4d9a
hex20b264

2142820 has 24 divisors (see below), whose sum is σ = 4737600. Its totient is φ = 811872.

The previous prime is 2142793. The next prime is 2142823. The reversal of 2142820 is 282412.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2440 + ... + 3199.

It is an arithmetic number, because the mean of its divisors is an integer number (197400).

22142820 is an apocalyptic number.

2142820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142820 is an abundant number, since it is smaller than the sum of its proper divisors (2594780).

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

2142820 is a wasteful number, since it uses less digits than its factorization.

2142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2142820 is about 1463.8374226669. The cubic root of 2142820 is about 128.9224540450.

The spelling of 2142820 in words is "two million, one hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 5639 11278 22556 28195 56390 107141 112780 214282 428564 535705 1071410 2142820