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10104000 = 26353421
BaseRepresentation
bin100110100010…
…110011000000
3201000100002020
4212202303000
510041312000
61000321440
7151611504
oct46426300
921010066
1010104000
115781315
123473280
132129cca
1414b0304
15d48ba0
hex9a2cc0

10104000 has 112 divisors (see below), whose sum is σ = 33442656. Its totient is φ = 2688000.

The previous prime is 10103987. The next prime is 10104007. The reversal of 10104000 is 40101.

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 10104000.

It is not an unprimeable number, because it can be changed into a prime (10104007) 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, 23790 + ... + 24210.

Almost surely, 210104000 is an apocalyptic number.

10104000 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 10104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721328).

10104000 is an abundant number, since it is smaller than the sum of its proper divisors (23338656).

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

10104000 is an equidigital number, since it uses as much as digits as its factorization.

10104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

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

The square root of 10104000 is about 3178.6789708934. The cubic root of 10104000 is about 216.1877654006.

Adding to 10104000 its reverse (40101), we get a palindrome (10144101).

The spelling of 10104000 in words is "ten million, one hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 421 480 500 600 750 800 842 960 1000 1200 1263 1500 1600 1684 2000 2105 2400 2526 3000 3368 4000 4210 4800 5052 6000 6315 6736 8000 8420 10104 10525 12000 12630 13472 16840 20208 21050 24000 25260 26944 31575 33680 40416 42100 50520 52625 63150 67360 80832 84200 101040 105250 126300 134720 157875 168400 202080 210500 252600 315750 336800 404160 421000 505200 631500 673600 842000 1010400 1263000 1684000 2020800 2526000 3368000 5052000 10104000