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10280720 = 245128509
BaseRepresentation
bin100111001101…
…111100010000
3201100022111102
4213031330100
510112440340
61004203532
7153245642
oct47157420
921308442
1010280720
11589206a
1235395a8
13218c588
141518892
15d81215
hex9cdf10

10280720 has 20 divisors (see below), whose sum is σ = 23902860. Its totient is φ = 4112256.

The previous prime is 10280717. The next prime is 10280723. The reversal of 10280720 is 2708201.

10280720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10280717) and next prime (10280723).

It can be written as a sum of positive squares in 2 ways, for example, as 5837056 + 4443664 = 2416^2 + 2108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10280692 and 10280701.

It is not an unprimeable number, because it can be changed into a prime (10280723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64175 + ... + 64334.

It is an arithmetic number, because the mean of its divisors is an integer number (1195143).

Almost surely, 210280720 is an apocalyptic number.

10280720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10280720 is an abundant number, since it is smaller than the sum of its proper divisors (13622140).

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

10280720 is a wasteful number, since it uses less digits than its factorization.

10280720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128522 (or 128516 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10280720 is about 3206.3561873254. The cubic root of 10280720 is about 217.4408699966.

Adding to 10280720 its reverse (2708201), we get a palindrome (12988921).

The spelling of 10280720 in words is "ten million, two hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 128509 257018 514036 642545 1028072 1285090 2056144 2570180 5140360 10280720