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4081104 = 24344767
BaseRepresentation
bin1111100100010111010000
321200100020000
433210113100
52021043404
6223250000
746455156
oct17442720
97610200
104081104
112338215
121449900
13acb771
147833d6
15559339
hex3e45d0

4081104 has 100 divisors (see below), whose sum is σ = 12243264. Its totient is φ = 1311552.

The previous prime is 4081079. The next prime is 4081111. The reversal of 4081104 is 4011804.

4081104 is digitally balanced in base 2, because in such base 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60879 + ... + 60945.

Almost surely, 24081104 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 4081104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121632).

4081104 is an abundant number, since it is smaller than the sum of its proper divisors (8162160).

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

4081104 is a wasteful number, since it uses less digits than its factorization.

4081104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4081104 is about 2020.1742499101. The cubic root of 4081104 is about 159.8058060665.

Adding to 4081104 its reverse (4011804), we get a palindrome (8092908).

It can be divided in two parts, 4081 and 104, that multiplied together give a palindrome (424424).

The spelling of 4081104 in words is "four million, eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 67 72 81 94 108 134 141 144 162 188 201 216 268 282 324 376 402 423 432 536 564 603 648 752 804 846 1072 1128 1206 1269 1296 1608 1692 1809 2256 2412 2538 3149 3216 3384 3618 3807 4824 5076 5427 6298 6768 7236 7614 9447 9648 10152 10854 12596 14472 15228 18894 20304 21708 25192 28341 28944 30456 37788 43416 50384 56682 60912 75576 85023 86832 113364 151152 170046 226728 255069 340092 453456 510138 680184 1020276 1360368 2040552 4081104