Search a number
-
+
10301320 = 2351715149
BaseRepresentation
bin100111010010…
…111110001000
3201101100202101
4213102332020
510114120240
61004443144
7153363001
oct47227610
921340671
1010301320
1158a6597
1235494b4
132198a73
1415221a8
15d8739a
hex9d2f88

10301320 has 32 divisors (see below), whose sum is σ = 24543000. Its totient is φ = 3877888.

The previous prime is 10301311. The next prime is 10301321. The reversal of 10301320 is 2310301.

10301320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 454276 = 3138^2 + 674^2 .

It is a super-2 number, since 2×103013202 = 212234387484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10301297 and 10301306.

It is not an unprimeable number, because it can be changed into a prime (10301321) 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, 6895 + ... + 8254.

Almost surely, 210301320 is an apocalyptic number.

10301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301320 is an abundant number, since it is smaller than the sum of its proper divisors (14241680).

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

10301320 is a wasteful number, since it uses less digits than its factorization.

10301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10301320 is about 3209.5669489824. The cubic root of 10301320 is about 217.5860055338.

Adding to 10301320 its reverse (2310301), we get a palindrome (12611621).

The spelling of 10301320 in words is "ten million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15149 30298 60596 75745 121192 151490 257533 302980 515066 605960 1030132 1287665 2060264 2575330 5150660 10301320