Search a number
-
+
740789280 = 2533571117131
BaseRepresentation
bin101100001001111…
…000110000100000
31220121220222212000
4230021320300200
53004120224110
6201301404000
724233414340
oct5411706040
91817828760
10740789280
11350179a50
12188109600
13ba62126a
1470554d20
154507d1c0
hex2c278c20

740789280 has 768 divisors, whose sum is σ = 3448811520. Its totient is φ = 143769600.

The previous prime is 740789279. The next prime is 740789281. The reversal of 740789280 is 82987047.

It is an interprime number because it is at equal distance from previous prime (740789279) and next prime (740789281).

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

It is not an unprimeable number, because it can be changed into a prime (740789281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5654815 + ... + 5654945.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2740789280 is an apocalyptic number.

740789280 is a gapful number since it is divisible by the number (70) 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 740789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724405760).

740789280 is an abundant number, since it is smaller than the sum of its proper divisors (2708022240).

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

740789280 is a wasteful number, since it uses less digits than its factorization.

740789280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 740789280 is about 27217.4444061157. Note that the first 4 decimals coincide. The cubic root of 740789280 is about 904.8256351397.

The spelling of 740789280 in words is "seven hundred forty million, seven hundred eighty-nine thousand, two hundred eighty".