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10016136 = 2334132941
BaseRepresentation
bin100110001101…
…010110001000
3200211212120000
4212031112020
510031004021
6554403000
7151064364
oct46152610
920755500
1010016136
1157212a9
123430460
1320c9010
14148a2a4
15d2cb26
hex98d588

10016136 has 160 divisors (see below), whose sum is σ = 32016600. Its totient is φ = 2903040.

The previous prime is 10016101. The next prime is 10016137. The reversal of 10016136 is 63161001.

It can be written as a sum of positive squares in 4 ways, for example, as 4284900 + 5731236 = 2070^2 + 2394^2 .

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 (10016137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244276 + ... + 244316.

Almost surely, 210016136 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 10016136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008300).

10016136 is an abundant number, since it is smaller than the sum of its proper divisors (22000464).

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

10016136 is a wasteful number, since it uses less digits than its factorization.

10016136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10016136 is about 3164.8279574094. The cubic root of 10016136 is about 215.5592865916.

Adding to 10016136 its reverse (63161001), we get a palindrome (73177137).

The spelling of 10016136 in words is "ten million, sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 41 52 54 58 72 78 81 82 87 104 108 116 117 123 156 162 164 174 216 232 234 246 261 312 324 328 348 351 369 377 468 492 522 533 648 696 702 738 754 783 936 984 1044 1053 1066 1107 1131 1189 1404 1476 1508 1566 1599 2088 2106 2132 2214 2262 2349 2378 2808 2952 3016 3132 3198 3321 3393 3567 4212 4264 4428 4524 4698 4756 4797 6264 6396 6642 6786 7134 8424 8856 9048 9396 9512 9594 10179 10701 12792 13284 13572 14268 14391 15457 18792 19188 20358 21402 26568 27144 28536 28782 30537 30914 32103 38376 40716 42804 43173 46371 57564 61074 61828 64206 81432 85608 86346 92742 96309 115128 122148 123656 128412 139113 172692 185484 192618 244296 256824 278226 345384 370968 385236 417339 556452 770472 834678 1112904 1252017 1669356 2504034 3338712 5008068 10016136