Search a number
-
+
10041000 = 233533347
BaseRepresentation
bin100110010011…
…011010101000
3200220010122220
4212103122220
510032303000
6555114040
7151230024
oct46233250
920803586
1010041000
115738a52
123442920
132107428
141495384
15d351a0
hex9936a8

10041000 has 64 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 2676800.

The previous prime is 10040983. The next prime is 10041011. The reversal of 10041000 is 14001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10041000.

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 15 ways as a sum of consecutive naturals, for example, 1327 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 210041000 is an apocalyptic number.

10041000 is a gapful number since it is divisible by the number (10) 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 10041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

10041000 is an abundant number, since it is smaller than the sum of its proper divisors (21296280).

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

10041000 is a wasteful number, since it uses less digits than its factorization.

10041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10041000 is about 3168.7536982227. The cubic root of 10041000 is about 215.7375069244.

Adding to 10041000 its reverse (14001), we get a palindrome (10055001).

The spelling of 10041000 in words is "ten million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3347 6694 10041 13388 16735 20082 26776 33470 40164 50205 66940 80328 83675 100410 133880 167350 200820 251025 334700 401640 418375 502050 669400 836750 1004100 1255125 1673500 2008200 2510250 3347000 5020500 10041000