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10531092 = 223111317192
BaseRepresentation
bin101000001011…
…000100010100
3201211000221110
4220023010110
510143443332
61013415020
7155340615
oct50130424
921730843
1010531092
115a43190
12363a470
132249520
141581c0c
15dd04cc
hexa0b114

10531092 has 144 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 2626560.

The previous prime is 10531091. The next prime is 10531093. The reversal of 10531092 is 29013501.

It is an interprime number because it is at equal distance from previous prime (10531091) and next prime (10531093).

It is a super-2 number, since 2×105310922 = 221807797424928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531091) 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, 554259 + ... + 554277.

It is an arithmetic number, because the mean of its divisors is an integer number (224028).

Almost surely, 210531092 is an apocalyptic number.

10531092 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 10531092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

10531092 is an abundant number, since it is smaller than the sum of its proper divisors (21728940).

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

10531092 is a wasteful number, since it uses less digits than its factorization.

10531092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10531092 is about 3245.1644026151. The cubic root of 10531092 is about 219.1918837015.

Adding to 10531092 its reverse (29013501), we get a palindrome (39544593).

It can be divided in two parts, 1053 and 1092, that added together give a triangular number (2145 = T65).

The spelling of 10531092 in words is "ten million, five hundred thirty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 13 17 19 22 26 33 34 38 39 44 51 52 57 66 68 76 78 102 114 132 143 156 187 204 209 221 228 247 286 323 361 374 418 429 442 494 561 572 627 646 663 722 741 748 836 858 884 969 988 1083 1122 1254 1292 1326 1444 1482 1716 1938 2166 2244 2431 2508 2652 2717 2964 3553 3876 3971 4199 4332 4693 4862 5434 6137 7106 7293 7942 8151 8398 9386 9724 10659 10868 11913 12274 12597 14079 14212 14586 15884 16302 16796 18411 18772 21318 23826 24548 25194 28158 29172 32604 36822 42636 46189 47652 50388 51623 56316 67507 73644 79781 92378 103246 135014 138567 154869 159562 184756 202521 206492 239343 270028 277134 309738 319124 405042 478686 554268 619476 810084 877591 957372 1755182 2632773 3510364 5265546 10531092