Search a number
-
+
380113056 = 25325092593
BaseRepresentation
bin10110101010000…
…001000010100000
3222111020202002100
4112222001002200
51234302104211
6101415050400
712263623221
oct2652010240
9874222070
10380113056
11185622624
12a7370a00
136099a78b
14386a9248
1523586156
hex16a810a0

380113056 has 72 divisors (see below), whose sum is σ = 1083487860. Its totient is φ = 126406656.

The previous prime is 380113033. The next prime is 380113057. The reversal of 380113056 is 650311083.

It can be written as a sum of positive squares in 2 ways, for example, as 361760400 + 18352656 = 19020^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (380113057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145296 + ... + 147888.

Almost surely, 2380113056 is an apocalyptic number.

380113056 is a gapful number since it is divisible by the number (36) 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 380113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541743930).

380113056 is an abundant number, since it is smaller than the sum of its proper divisors (703374804).

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

380113056 is a wasteful number, since it uses less digits than its factorization.

380113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 380113056 is about 19496.4882991784. The cubic root of 380113056 is about 724.3874690019.

The spelling of 380113056 in words is "three hundred eighty million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 509 1018 1527 2036 2593 3054 4072 4581 5186 6108 7779 8144 9162 10372 12216 15558 16288 18324 20744 23337 24432 31116 36648 41488 46674 48864 62232 73296 82976 93348 124464 146592 186696 248928 373392 746784 1319837 2639674 3959511 5279348 7919022 10558696 11878533 15838044 21117392 23757066 31676088 42234784 47514132 63352176 95028264 126704352 190056528 380113056