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2152420 = 225107621
BaseRepresentation
bin1000001101011111100100
311001100120021
420031133210
51022334140
6114044524
724203164
oct10153744
94040507
102152420
111240166
12879744
135a492a
144005a4
152c7b4a
hex20d7e4

2152420 has 12 divisors (see below), whose sum is σ = 4520124. Its totient is φ = 860960.

The previous prime is 2152399. The next prime is 2152427. The reversal of 2152420 is 242512.

2152420 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1136356 + 1016064 = 1066^2 + 1008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2152394 and 2152403.

It is not an unprimeable number, because it can be changed into a prime (2152427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53791 + ... + 53830.

It is an arithmetic number, because the mean of its divisors is an integer number (376677).

22152420 is an apocalyptic number.

2152420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152420 is an abundant number, since it is smaller than the sum of its proper divisors (2367704).

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

2152420 is a wasteful number, since it uses less digits than its factorization.

2152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107630 (or 107628 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2152420 is about 1467.1128109317. The cubic root of 2152420 is about 129.1146947809.

Adding to 2152420 its reverse (242512), we get a palindrome (2394932).

It can be divided in two parts, 2152 and 420, that multiplied together give a triangular number (903840 = T1344).

The spelling of 2152420 in words is "two million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107621 215242 430484 538105 1076210 2152420