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10244016 = 2433231031
BaseRepresentation
bin100111000100…
…111110110000
3201021110011000
4213010332300
510110302031
61003322000
7153033636
oct47047660
921243130
1010244016
115867532
123520300
132178963
141509356
15d753e6
hex9c4fb0

10244016 has 80 divisors (see below), whose sum is σ = 30712320. Its totient is φ = 3263040.

The previous prime is 10244011. The next prime is 10244023. The reversal of 10244016 is 61044201.

10244016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10244016.

It is not an unprimeable number, because it can be changed into a prime (10244011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9421 + ... + 10451.

It is an arithmetic number, because the mean of its divisors is an integer number (383904).

Almost surely, 210244016 is an apocalyptic number.

10244016 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 10244016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356160).

10244016 is an abundant number, since it is smaller than the sum of its proper divisors (20468304).

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

10244016 is a wasteful number, since it uses less digits than its factorization.

10244016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10244016 is about 3200.6274384876. The cubic root of 10244016 is about 217.1817939015.

Adding to 10244016 its reverse (61044201), we get a palindrome (71288217).

The spelling of 10244016 in words is "ten million, two hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1031 1104 1242 1656 2062 2484 3093 3312 4124 4968 6186 8248 9279 9936 12372 16496 18558 23713 24744 27837 37116 47426 49488 55674 71139 74232 94852 111348 142278 148464 189704 213417 222696 284556 379408 426834 445392 569112 640251 853668 1138224 1280502 1707336 2561004 3414672 5122008 10244016