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10244416 = 267131759
BaseRepresentation
bin100111000101…
…000101000000
3201021110200211
4213011011000
510110310131
61003323504
7153035050
oct47050500
921243624
1010244416
115867866
123520594
132178bb0
141509560
15d755b1
hex9c5140

10244416 has 56 divisors (see below), whose sum is σ = 25034240. Its totient is φ = 4050432.

The previous prime is 10244393. The next prime is 10244447. The reversal of 10244416 is 61444201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4945 + ... + 6703.

It is an arithmetic number, because the mean of its divisors is an integer number (447040).

Almost surely, 210244416 is an apocalyptic number.

10244416 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 10244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517120).

10244416 is an abundant number, since it is smaller than the sum of its proper divisors (14789824).

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

10244416 is a wasteful number, since it uses less digits than its factorization.

10244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10244416 is about 3200.6899256254. The cubic root of 10244416 is about 217.1846206440.

Adding to 10244416 its reverse (61444201), we get a palindrome (71688617).

The spelling of 10244416 in words is "ten million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 1759 2912 3518 5824 7036 12313 14072 22867 24626 28144 45734 49252 56288 91468 98504 112576 160069 182936 197008 320138 365872 394016 640276 731744 788032 1280552 1463488 2561104 5122208 10244416