Search a number
-
+
10053420 = 22351312889
BaseRepresentation
bin100110010110…
…011100101100
3200220202200220
4212112130230
510033202140
6555251340
7151311156
oct46263454
920822626
1010053420
115747313
123449b50
13210cc90
141499ad6
15d38bd0
hex99672c

10053420 has 48 divisors (see below), whose sum is σ = 30317280. Its totient is φ = 2474496.

The previous prime is 10053419. The next prime is 10053427. The reversal of 10053420 is 2435001.

10053420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10053420.

It is not an unprimeable number, because it can be changed into a prime (10053427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5665 + ... + 7224.

It is an arithmetic number, because the mean of its divisors is an integer number (631610).

Almost surely, 210053420 is an apocalyptic number.

10053420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053420 is an abundant number, since it is smaller than the sum of its proper divisors (20263860).

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

10053420 is a wasteful number, since it uses less digits than its factorization.

10053420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12914 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10053420 is about 3170.7128536025. The cubic root of 10053420 is about 215.8264209047.

Adding to 10053420 its reverse (2435001), we get a palindrome (12488421).

The spelling of 10053420 in words is "ten million, fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 12889 25778 38667 51556 64445 77334 128890 154668 167557 193335 257780 335114 386670 502671 670228 773340 837785 1005342 1675570 2010684 2513355 3351140 5026710 10053420