Search a number
-
+
10415104 = 21071453
BaseRepresentation
bin100111101110…
…110000000000
3201121010211121
4213232300000
510131240404
61011122024
7154345510
oct47566000
921533747
1010415104
115974027
1235a3314
1322087ab
141551840
15daae54
hex9eec00

10415104 has 44 divisors (see below), whose sum is σ = 23810704. Its totient is φ = 4460544.

The previous prime is 10415099. The next prime is 10415117. The reversal of 10415104 is 40151401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6442 + ... + 7894.

Almost surely, 210415104 is an apocalyptic number.

10415104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905352).

10415104 is an abundant number, since it is smaller than the sum of its proper divisors (13395600).

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

10415104 is an equidigital number, since it uses as much as digits as its factorization.

10415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10415104 is about 3227.2440254806. The cubic root of 10415104 is about 218.3841947173.

Adding to 10415104 its reverse (40151401), we get a palindrome (50566505).

The spelling of 10415104 in words is "ten million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1453 1792 2906 3584 5812 7168 10171 11624 20342 23248 40684 46496 81368 92992 162736 185984 325472 371968 650944 743936 1301888 1487872 2603776 5207552 10415104