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10244256 = 2531189109
BaseRepresentation
bin100111000101…
…000010100000
3201021110110220
4213011002200
510110304011
61003323040
7153034431
oct47050240
921243426
1010244256
115867730
123520480
132178ab9
141509488
15d75506
hex9c50a0

10244256 has 96 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3041280.

The previous prime is 10244243. The next prime is 10244263. The reversal of 10244256 is 65244201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93930 + ... + 94038.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 210244256 is an apocalyptic number.

10244256 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 10244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

10244256 is an abundant number, since it is smaller than the sum of its proper divisors (19693344).

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

10244256 is a wasteful number, since it uses less digits than its factorization.

10244256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10244256 is about 3200.6649309167. The cubic root of 10244256 is about 217.1834899558.

Adding to 10244256 its reverse (65244201), we get a palindrome (75488457).

Subtracting 10244256 from its reverse (65244201), we obtain a palindrome (54999945).

The spelling of 10244256 in words is "ten million, two hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 109 132 176 178 218 264 267 327 352 356 436 528 534 654 712 872 979 1056 1068 1199 1308 1424 1744 1958 2136 2398 2616 2848 2937 3488 3597 3916 4272 4796 5232 5874 7194 7832 8544 9592 9701 10464 11748 14388 15664 19184 19402 23496 28776 29103 31328 38368 38804 46992 57552 58206 77608 93984 106711 115104 116412 155216 213422 232824 310432 320133 426844 465648 640266 853688 931296 1280532 1707376 2561064 3414752 5122128 10244256