Search a number
-
+
10415124 = 2232289309
BaseRepresentation
bin100111101110…
…110000010100
3201121010212100
4213232300110
510131240444
61011122100
7154345536
oct47566024
921533770
1010415124
115974045
1235a3330
1322087c5
141551856
15daae69
hex9eec14

10415124 has 18 divisors (see below), whose sum is σ = 26327210. Its totient is φ = 3471696.

The previous prime is 10415117. The next prime is 10415137. The reversal of 10415124 is 42151401.

10415124 is digitally balanced in base 2 and base 4, 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 only one way, i.e., 7387524 + 3027600 = 2718^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10415097 and 10415106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144619 + ... + 144690.

Almost surely, 210415124 is an apocalyptic number.

It is an amenable number.

10415124 is an abundant number, since it is smaller than the sum of its proper divisors (15912086).

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

10415124 is a wasteful number, since it uses less digits than its factorization.

10415124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289319 (or 289314 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10415124 is about 3227.2471240982. The cubic root of 10415124 is about 218.3843345041.

Adding to 10415124 its reverse (42151401), we get a palindrome (52566525).

The spelling of 10415124 in words is "ten million, four hundred fifteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 289309 578618 867927 1157236 1735854 2603781 3471708 5207562 10415124