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10041840 = 243354649
BaseRepresentation
bin100110010011…
…100111110000
3200220011211000
4212103213300
510032314330
6555122000
7151232334
oct46234760
920804730
1010041840
115739646
123443300
132107923
1414957c4
15d35560
hex9939f0

10041840 has 80 divisors (see below), whose sum is σ = 34596000. Its totient is φ = 2677248.

The previous prime is 10041839. The next prime is 10041847. The reversal of 10041840 is 4814001.

10041840 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 tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 4484.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 210041840 is an apocalyptic number.

10041840 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 10041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298000).

10041840 is an abundant number, since it is smaller than the sum of its proper divisors (24554160).

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

10041840 is a wasteful number, since it uses less digits than its factorization.

10041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4659 counting only the distinct ones).

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

The square root of 10041840 is about 3168.8862396748. The cubic root of 10041840 is about 215.7435227413.

Adding to 10041840 its reverse (4814001), we get a palindrome (14855841).

The spelling of 10041840 in words is "ten million, forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4649 9298 13947 18596 23245 27894 37192 41841 46490 55788 69735 74384 83682 92980 111576 125523 139470 167364 185960 209205 223152 251046 278940 334728 371920 418410 502092 557880 627615 669456 836820 1004184 1115760 1255230 1673640 2008368 2510460 3347280 5020920 10041840