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2152820 = 225107641
BaseRepresentation
bin1000001101100101110100
311001101010002
420031211310
51022342240
6114050432
724204305
oct10154564
94041102
102152820
11124049a
12879a18
135a4b77
144007ac
152c7d15
hex20d974

2152820 has 12 divisors (see below), whose sum is σ = 4520964. Its totient is φ = 861120.

The previous prime is 2152819. The next prime is 2152831. The reversal of 2152820 is 282512.

It can be written as a sum of positive squares in 2 ways, for example, as 605284 + 1547536 = 778^2 + 1244^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 107641 = 2152820 / (2 + 1 + 5 + 2 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2152792 and 2152801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53801 + ... + 53840.

It is an arithmetic number, because the mean of its divisors is an integer number (376747).

22152820 is an apocalyptic number.

2152820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152820 is an abundant number, since it is smaller than the sum of its proper divisors (2368144).

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

2152820 is a wasteful number, since it uses less digits than its factorization.

2152820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107650 (or 107648 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2152820 is about 1467.2491267675. The cubic root of 2152820 is about 129.1226923958.

The spelling of 2152820 in words is "two million, one hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 107641 215282 430564 538205 1076410 2152820