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10112076 = 223213173141
BaseRepresentation
bin100110100100…
…110001001100
3201000202011100
4212210301030
510042041301
61000423100
7151644162
oct46446114
921022140
1010112076
115787397
123477a90
1321308a0
1414b3232
15d4b286
hex9a4c4c

10112076 has 144 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 2764800.

The previous prime is 10112071. The next prime is 10112077. The reversal of 10112076 is 67021101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246616 + ... + 246656.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 210112076 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 10112076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10112076 is an abundant number, since it is smaller than the sum of its proper divisors (20708532).

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

10112076 is a wasteful number, since it uses less digits than its factorization.

10112076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10112076 is about 3179.9490561957. The cubic root of 10112076 is about 216.2453487812.

Adding to 10112076 its reverse (67021101), we get a palindrome (77133177).

The spelling of 10112076 in words is "ten million, one hundred twelve thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 41 51 52 62 68 78 82 93 102 117 123 124 153 156 164 186 204 221 234 246 279 306 369 372 403 442 468 492 527 533 558 612 663 697 738 806 884 1054 1066 1116 1209 1271 1326 1394 1476 1581 1599 1612 1989 2091 2108 2132 2418 2542 2652 2788 3162 3198 3627 3813 3978 4182 4743 4797 4836 5084 6273 6324 6396 6851 7254 7626 7956 8364 9061 9486 9594 11439 12546 13702 14508 15252 16523 18122 18972 19188 20553 21607 22878 25092 27183 27404 33046 36244 41106 43214 45756 49569 54366 61659 64821 66092 81549 82212 86428 99138 108732 123318 129642 148707 163098 194463 198276 246636 259284 280891 297414 326196 388926 561782 594828 777852 842673 1123564 1685346 2528019 3370692 5056038 10112076