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10414336 = 28172393
BaseRepresentation
bin100111101110…
…100100000000
3201121002210011
4213232210000
510131224321
61011114304
7154343332
oct47564400
921532704
1010414336
115973499
1235a2994
13220833a
141551452
15daaae1
hex9ee900

10414336 has 36 divisors (see below), whose sum is σ = 22020012. Its totient is φ = 4898816.

The previous prime is 10414321. The next prime is 10414363. The reversal of 10414336 is 63341401.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 6969600 = 1856^2 + 2640^2 .

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, 3156 + ... + 5548.

It is an arithmetic number, because the mean of its divisors is an integer number (611667).

Almost surely, 210414336 is an apocalyptic number.

10414336 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 10414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010006).

10414336 is an abundant number, since it is smaller than the sum of its proper divisors (11605676).

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

10414336 is an equidigital number, since it uses as much as digits as its factorization.

10414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10414336 is about 3227.1250363133. The cubic root of 10414336 is about 218.3788267702.

Adding to 10414336 its reverse (63341401), we get a palindrome (73755737).

The spelling of 10414336 in words is "ten million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2393 4352 4786 9572 19144 38288 40681 76576 81362 153152 162724 306304 325448 612608 650896 1301792 2603584 5207168 10414336