Search a number
-
+
10384980 = 2235732371
BaseRepresentation
bin100111100111…
…011001010100
3201112121111220
4213213121110
510124304410
61010330340
7154161624
oct47473124
921477456
1010384980
115953431
1235899b0
1321c7b78
141544884
15da2070
hex9e7654

10384980 has 48 divisors (see below), whose sum is σ = 29488704. Its totient is φ = 2730240.

The previous prime is 10384967. The next prime is 10384981. The reversal of 10384980 is 8948301.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3195 + ... + 5565.

It is an arithmetic number, because the mean of its divisors is an integer number (614348).

Almost surely, 210384980 is an apocalyptic number.

10384980 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 10384980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744352).

10384980 is an abundant number, since it is smaller than the sum of its proper divisors (19103724).

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

10384980 is a wasteful number, since it uses less digits than its factorization.

10384980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10384980 is about 3222.5735057559. The cubic root of 10384980 is about 218.1734444387.

The spelling of 10384980 in words is "ten million, three hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 2371 4380 4742 7113 9484 11855 14226 23710 28452 35565 47420 71130 142260 173083 346166 519249 692332 865415 1038498 1730830 2076996 2596245 3461660 5192490 10384980