Search a number
-
+
380785860 = 22365721341
BaseRepresentation
bin10110101100100…
…101010011000100
3222112111221000000
4112230211103010
51234440121420
6101441321300
712302424600
oct2654452304
9875457000
10380785860
11185a42064
12a7636230
1360b74aa0
1438802500
152366a690
hex16b254c4

380785860 has 504 divisors, whose sum is σ = 1538585496. Its totient is φ = 78382080.

The previous prime is 380785841. The next prime is 380785891. The reversal of 380785860 is 68587083.

380785860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 371641284 = 3024^2 + 19278^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 9287440 + ... + 9287480.

It is an arithmetic number, because the mean of its divisors is an integer number (3052749).

Almost surely, 2380785860 is an apocalyptic number.

380785860 is a gapful number since it is divisible by the number (30) 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 380785860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769292748).

380785860 is an abundant number, since it is smaller than the sum of its proper divisors (1157799636).

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

380785860 is a wasteful number, since it uses less digits than its factorization.

380785860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 380785860 is about 19513.7351627001. The cubic root of 380785860 is about 724.8146081657.

The spelling of 380785860 in words is "three hundred eighty million, seven hundred eighty-five thousand, eight hundred sixty".