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10104820 = 22511231997
BaseRepresentation
bin100110100010…
…111111110100
3201000101012121
4212202333310
510041323240
61000325324
7151614055
oct46427764
921011177
1010104820
1157819a0
123473844
13212a4ab
1414b072c
15d4904a
hex9a2ff4

10104820 has 48 divisors (see below), whose sum is σ = 24167808. Its totient is φ = 3512960.

The previous prime is 10104803. The next prime is 10104823. The reversal of 10104820 is 2840101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10104794 and 10104803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104823) 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, 4062 + ... + 6058.

It is an arithmetic number, because the mean of its divisors is an integer number (503496).

Almost surely, 210104820 is an apocalyptic number.

10104820 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 10104820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083904).

10104820 is an abundant number, since it is smaller than the sum of its proper divisors (14062988).

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

10104820 is a wasteful number, since it uses less digits than its factorization.

10104820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10104820 is about 3178.8079526766. The cubic root of 10104820 is about 216.1936135522.

Adding to 10104820 its reverse (2840101), we get a palindrome (12944921).

The spelling of 10104820 in words is "ten million, one hundred four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1997 2530 3994 5060 7988 9985 19970 21967 39940 43934 45931 87868 91862 109835 183724 219670 229655 439340 459310 505241 918620 1010482 2020964 2526205 5052410 10104820