Search a number
-
+
10081008 = 2432773137
BaseRepresentation
bin100110011101…
…001011110000
3200222011112200
4212131023300
510040043013
61000023200
7151454460
oct46351360
920864480
1010081008
115766013
123461b00
13211c6c2
1414a5ba0
15d41e73
hex99d2f0

10081008 has 120 divisors (see below), whose sum is σ = 32923488. Its totient is φ = 2820096.

The previous prime is 10080997. The next prime is 10081013. The reversal of 10081008 is 80018001.

It is a happy number.

10081008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73516 + ... + 73652.

Almost surely, 210081008 is an apocalyptic number.

10081008 is a gapful number since it is divisible by the number (18) 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 10081008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461744).

10081008 is an abundant number, since it is smaller than the sum of its proper divisors (22842480).

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

10081008 is a wasteful number, since it uses less digits than its factorization.

10081008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10081008 is about 3175.0603143877. The cubic root of 10081008 is about 216.0236599597.

Adding to 10081008 its reverse (80018001), we get a palindrome (90099009).

It can be divided in two parts, 1008 and 1008, that added together give a triangular number (2016 = T63).

The spelling of 10081008 in words is "ten million, eighty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 137 144 146 168 219 252 274 292 336 411 438 504 511 548 584 657 822 876 959 1008 1022 1096 1168 1233 1314 1533 1644 1752 1918 2044 2192 2466 2628 2877 3066 3288 3504 3836 4088 4599 4932 5256 5754 6132 6576 7672 8176 8631 9198 9864 10001 10512 11508 12264 15344 17262 18396 19728 20002 23016 24528 30003 34524 36792 40004 46032 60006 69048 70007 73584 80008 90009 120012 138096 140014 160016 180018 210021 240024 280028 360036 420042 480048 560056 630063 720072 840084 1120112 1260126 1440144 1680168 2520252 3360336 5040504 10081008