Search a number
-
+
755485380 = 2234513291237
BaseRepresentation
bin101101000001111…
…100101011000100
31221122120122010000
4231001330223010
53021401013010
6202544401300
724502343166
oct5501745304
91848518100
10755485380
113584a7391
12191016230
13c0698490
147249c936
15464d27c0
hex2d07cac4

755485380 has 240 divisors, whose sum is σ = 2642436720. Its totient is φ = 179407872.

The previous prime is 755485363. The next prime is 755485403. The reversal of 755485380 is 83584557.

755485380 is a `hidden beast` number, since 75 + 5 + 48 + 538 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10850436 + 744634944 = 3294^2 + 27288^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610122 + ... + 611358.

It is an arithmetic number, because the mean of its divisors is an integer number (11010153).

Almost surely, 2755485380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755485380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321218360).

755485380 is an abundant number, since it is smaller than the sum of its proper divisors (1886951340).

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

755485380 is a wasteful number, since it uses less digits than its factorization.

755485380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 755485380 is about 27486.0943023923. The cubic root of 755485380 is about 910.7699396933.

The spelling of 755485380 in words is "seven hundred fifty-five million, four hundred eighty-five thousand, three hundred eighty".