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10104920 = 2357151239
BaseRepresentation
bin100110100011…
…000001011000
3201000101100022
4212203001120
510041324140
61000330012
7151614260
oct46430130
921011308
1010104920
115781a81
123473908
13212a557
1414b07a0
15d490b5
hex9a3058

10104920 has 64 divisors (see below), whose sum is σ = 26265600. Its totient is φ = 3427200.

The previous prime is 10104917. The next prime is 10104929. The reversal of 10104920 is 2940101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104929) 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, 42161 + ... + 42399.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 210104920 is an apocalyptic number.

10104920 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 10104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132800).

10104920 is an abundant number, since it is smaller than the sum of its proper divisors (16160680).

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

10104920 is a wasteful number, since it uses less digits than its factorization.

10104920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10104920 is about 3178.8236818043. The cubic root of 10104920 is about 216.1943267198.

The spelling of 10104920 in words is "ten million, one hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 239 280 302 478 604 755 956 1057 1195 1208 1510 1673 1912 2114 2390 3020 3346 4228 4780 5285 6040 6692 8365 8456 9560 10570 13384 16730 21140 33460 36089 42280 66920 72178 144356 180445 252623 288712 360890 505246 721780 1010492 1263115 1443560 2020984 2526230 5052460 10104920