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10243968 = 273737103
BaseRepresentation
bin100111000100…
…111110000000
3201021110002020
4213010332000
510110301333
61003321440
7153033540
oct47047600
921243066
1010243968
115867499
123520280
132178927
141509320
15d753b3
hex9c4f80

10243968 has 128 divisors (see below), whose sum is σ = 32248320. Its totient is φ = 2820096.

The previous prime is 10243949. The next prime is 10243969. The reversal of 10243968 is 86934201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243969) 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, 99405 + ... + 99507.

It is an arithmetic number, because the mean of its divisors is an integer number (251940).

Almost surely, 210243968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124160).

10243968 is an abundant number, since it is smaller than the sum of its proper divisors (22004352).

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

10243968 is a wasteful number, since it uses less digits than its factorization.

10243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10243968 is about 3200.6199399491. The cubic root of 10243968 is about 217.1814546874.

It can be divided in two parts, 10243 and 968, that added together give a palindrome (11211).

The spelling of 10243968 in words is "ten million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 103 111 112 128 148 168 192 206 222 224 259 296 309 336 384 412 444 448 518 592 618 672 721 777 824 888 896 1036 1184 1236 1344 1442 1554 1648 1776 2072 2163 2368 2472 2688 2884 3108 3296 3552 3811 4144 4326 4736 4944 5768 6216 6592 7104 7622 8288 8652 9888 11433 11536 12432 13184 14208 15244 16576 17304 19776 22866 23072 24864 26677 30488 33152 34608 39552 45732 46144 49728 53354 60976 69216 80031 91464 92288 99456 106708 121952 138432 160062 182928 213416 243904 276864 320124 365856 426832 487808 640248 731712 853664 1280496 1463424 1707328 2560992 3414656 5121984 10243968