Search a number
-
+
740449920 = 27357371489
BaseRepresentation
bin101100001000100…
…101111010000000
31220121021202100010
4230020211322000
53004023344140
6201250224520
724230502060
oct5410457200
91817252303
10740449920
1134aa67a91
12187b85140
13ba532962
14704a73a0
1545012880
hex2c225e80

740449920 has 256 divisors, whose sum is σ = 2772115200. Its totient is φ = 164560896.

The previous prime is 740449867. The next prime is 740449949. The reversal of 740449920 is 29944047.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 496536 + ... + 498024.

It is an arithmetic number, because the mean of its divisors is an integer number (10828575).

Almost surely, 2740449920 is an apocalyptic number.

740449920 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 740449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386057600).

740449920 is an abundant number, since it is smaller than the sum of its proper divisors (2031665280).

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

740449920 is a wasteful number, since it uses less digits than its factorization.

740449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 740449920 is about 27211.2094549287. The cubic root of 740449920 is about 904.6874453572.

The spelling of 740449920 in words is "seven hundred forty million, four hundred forty-nine thousand, nine hundred twenty".