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10040112 = 243461127
BaseRepresentation
bin100110010011…
…001100110000
3200220002110000
4212103030300
510032240422
6555110000
7151224315
oct46231460
920802400
1010040112
115738315
123442300
132106bc4
141494d0c
15d34cac
hex993330

10040112 has 100 divisors (see below), whose sum is σ = 29767936. Its totient is φ = 3265920.

The previous prime is 10040111. The next prime is 10040117. The reversal of 10040112 is 21104001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6 and base 16.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10040094 and 10040103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78993 + ... + 79119.

Almost surely, 210040112 is an apocalyptic number.

10040112 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 10040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883968).

10040112 is an abundant number, since it is smaller than the sum of its proper divisors (19727824).

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

10040112 is a wasteful number, since it uses less digits than its factorization.

10040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10040112 is about 3168.6135769450. The cubic root of 10040112 is about 215.7311469817.

Adding to 10040112 its reverse (21104001), we get a palindrome (31144113).

The spelling of 10040112 in words is "ten million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 127 144 162 183 216 244 254 324 366 381 432 488 508 549 648 732 762 976 1016 1098 1143 1296 1464 1524 1647 2032 2196 2286 2928 3048 3294 3429 4392 4572 4941 6096 6588 6858 7747 8784 9144 9882 10287 13176 13716 15494 18288 19764 20574 23241 26352 27432 30988 39528 41148 46482 54864 61976 69723 79056 82296 92964 123952 139446 164592 185928 209169 278892 371856 418338 557784 627507 836676 1115568 1255014 1673352 2510028 3346704 5020056 10040112