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10038380 = 22511103443
BaseRepresentation
bin100110010010…
…110001101100
3200220000001212
4212102301230
510032212010
6555053552
7151216262
oct46226154
920800055
1010038380
115736a90
1234412b8
132106191
141494432
15d34505
hex992c6c

10038380 has 48 divisors (see below), whose sum is σ = 23272704. Its totient is φ = 3606720.

The previous prime is 10038377. The next prime is 10038397. The reversal of 10038380 is 8383001.

It is an unprimeable number.

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, 22439 + ... + 22881.

It is an arithmetic number, because the mean of its divisors is an integer number (484848).

Almost surely, 210038380 is an apocalyptic number.

10038380 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 10038380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636352).

10038380 is an abundant number, since it is smaller than the sum of its proper divisors (13234324).

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

10038380 is a wasteful number, since it uses less digits than its factorization.

10038380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10038380 is about 3168.3402595050. The cubic root of 10038380 is about 215.7187411495.

The spelling of 10038380 in words is "ten million, thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 443 515 886 1030 1133 1772 2060 2215 2266 4430 4532 4873 5665 8860 9746 11330 19492 22660 24365 45629 48730 91258 97460 182516 228145 456290 501919 912580 1003838 2007676 2509595 5019190 10038380