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10104040 = 2354161101
BaseRepresentation
bin100110100010…
…110011101000
3201000100010201
4212202303220
510041312130
61000321544
7151611562
oct46426350
921010121
1010104040
115781351
1234732b4
13212a02b
1414b0332
15d48bca
hex9a2ce8

10104040 has 64 divisors (see below), whose sum is σ = 23904720. Its totient is φ = 3840000.

The previous prime is 10104037. The next prime is 10104041. The reversal of 10104040 is 4040101.

10104040 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 1705636 + 8398404 = 1306^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10104041) by changing a digit.

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, 99990 + ... + 100090.

Almost surely, 210104040 is an apocalyptic number.

10104040 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 10104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952360).

10104040 is an abundant number, since it is smaller than the sum of its proper divisors (13800680).

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

10104040 is a wasteful number, since it uses less digits than its factorization.

10104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10104040 is about 3178.6852628091. The cubic root of 10104040 is about 216.1880506836.

Adding to 10104040 its reverse (4040101), we get a palindrome (14144141).

It can be divided in two parts, 1010 and 4040, that multiplied together give a square (4080400 = 20202).

The spelling of 10104040 in words is "ten million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 101 122 164 202 205 244 305 328 404 410 488 505 610 808 820 1010 1220 1640 2020 2440 2501 4040 4141 5002 6161 8282 10004 12322 12505 16564 20008 20705 24644 25010 30805 33128 41410 49288 50020 61610 82820 100040 123220 165640 246440 252601 505202 1010404 1263005 2020808 2526010 5052020 10104040