Search a number
-
+
10460416 = 28291409
BaseRepresentation
bin100111111001…
…110100000000
3201200102222211
4213321310000
510134213131
61012111504
7154624561
oct47716400
921612884
1010460416
1159a507a
123605594
1322232c5
141564168
15db95b1
hex9f9d00

10460416 has 36 divisors (see below), whose sum is σ = 21615300. Its totient is φ = 5046272.

The previous prime is 10460413. The next prime is 10460419. The reversal of 10460416 is 61406401.

It is an interprime number because it is at equal distance from previous prime (10460413) and next prime (10460419).

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 8386816 = 1440^2 + 2896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10460413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6720 + ... + 8128.

It is an arithmetic number, because the mean of its divisors is an integer number (600425).

Almost surely, 210460416 is an apocalyptic number.

10460416 is a gapful number since it is divisible by the number (16) 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 10460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807650).

10460416 is an abundant number, since it is smaller than the sum of its proper divisors (11154884).

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

10460416 is an equidigital number, since it uses as much as digits as its factorization.

10460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10460416 is about 3234.2566379309. The cubic root of 10460416 is about 218.7004376422.

Adding to 10460416 its reverse (61406401), we get a palindrome (71866817).

The spelling of 10460416 in words is "ten million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1409 1856 2818 3712 5636 7424 11272 22544 40861 45088 81722 90176 163444 180352 326888 360704 653776 1307552 2615104 5230208 10460416