Search a number
-
+
10799980 = 2251997293
BaseRepresentation
bin101001001100…
…101101101100
3202022200210021
4221030231230
510231044410
61023251524
7160540552
oct51145554
922280707
1010799980
116107204
123749ba4
132311a29
141611bd2
15e34eda
hexa4cb6c

10799980 has 48 divisors (see below), whose sum is σ = 24202080. Its totient is φ = 4036608.

The previous prime is 10799963. The next prime is 10799993. The reversal of 10799980 is 8999701.

10799980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36714 + ... + 37006.

It is an arithmetic number, because the mean of its divisors is an integer number (504210).

Almost surely, 210799980 is an apocalyptic number.

10799980 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 10799980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101040).

10799980 is an abundant number, since it is smaller than the sum of its proper divisors (13402100).

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

10799980 is a wasteful number, since it uses less digits than its factorization.

10799980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The square root of 10799980 is about 3286.3323021265. The cubic root of 10799980 is about 221.0417534727.

The spelling of 10799980 in words is "ten million, seven hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 293 380 388 485 586 970 1172 1465 1843 1940 2930 3686 5567 5860 7372 9215 11134 18430 22268 27835 28421 36860 55670 56842 111340 113684 142105 284210 539999 568420 1079998 2159996 2699995 5399990 10799980