Search a number
-
+
740975040 = 2635513733
BaseRepresentation
bin101100001010100…
…110000111000000
31220122021102200000
4230022212013000
53004142200130
6201305400000
724235120041
oct5412460700
91818242600
10740975040
11350296573
12188199000
13ba687990
14705a28c8
15450b8260
hex2c2a61c0

740975040 has 336 divisors, whose sum is σ = 2850233568. Its totient is φ = 182145024.

The previous prime is 740975009. The next prime is 740975077. The reversal of 740975040 is 40579047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 740974986 and 740975004.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1010514 + ... + 1011246.

It is an arithmetic number, because the mean of its divisors is an integer number (8482838).

Almost surely, 2740975040 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 740975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425116784).

740975040 is an abundant number, since it is smaller than the sum of its proper divisors (2109258528).

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

740975040 is a wasteful number, since it uses less digits than its factorization.

740975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 740975040 is about 27220.8567095160. The cubic root of 740975040 is about 904.9012600474.

The spelling of 740975040 in words is "seven hundred forty million, nine hundred seventy-five thousand, forty".