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10136412 = 223211213179
BaseRepresentation
bin100110101010…
…101101011100
3201001222112200
4212222231130
510043331122
61001131500
7152105136
oct46525534
921058480
1010136412
1157a3700
123489b90
13213b9a0
1414bc056
15d535ac
hex9aab5c

10136412 has 108 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 2819520.

The previous prime is 10136407. The next prime is 10136419. The reversal of 10136412 is 21463101.

It is a happy number.

10136412 is a `hidden beast` number, since 10 + 13 + 641 + 2 = 666.

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 (10136419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56539 + ... + 56717.

Almost surely, 210136412 is an apocalyptic number.

10136412 is a gapful number since it is divisible by the number (12) 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 10136412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249780).

10136412 is an abundant number, since it is smaller than the sum of its proper divisors (20363148).

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

10136412 is a wasteful number, since it uses less digits than its factorization.

10136412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10136412 is about 3183.7732331308. The cubic root of 10136412 is about 216.4186838043.

Adding to 10136412 its reverse (21463101), we get a palindrome (31599513).

The spelling of 10136412 in words is "ten million, one hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 179 198 234 242 286 358 363 396 429 468 484 537 572 716 726 858 1074 1089 1287 1452 1573 1611 1716 1969 2148 2178 2327 2574 3146 3222 3938 4356 4654 4719 5148 5907 6292 6444 6981 7876 9308 9438 11814 13962 14157 17721 18876 20943 21659 23628 25597 27924 28314 35442 41886 43318 51194 56628 64977 70884 76791 83772 86636 102388 129954 153582 194931 230373 259908 281567 307164 389862 460746 563134 779724 844701 921492 1126268 1689402 2534103 3378804 5068206 10136412