Search a number
-
+
740467040 = 25522320753
BaseRepresentation
bin101100001000101…
…010000101100000
31220121022121211012
4230020222011200
53004024421130
6201250440052
724230603015
oct5410520540
91817277735
10740467040
1134aa79935
12187b93028
13ba53a6a1
14704ad70c
1545017995
hex2c22a160

740467040 has 48 divisors (see below), whose sum is σ = 1757282688. Its totient is φ = 294844416.

The previous prime is 740467027. The next prime is 740467043. The reversal of 740467040 is 40764047.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 740466988 and 740467006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740467043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25304 + ... + 46056.

It is an arithmetic number, because the mean of its divisors is an integer number (36610056).

Almost surely, 2740467040 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 740467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878641344).

740467040 is an abundant number, since it is smaller than the sum of its proper divisors (1016815648).

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

740467040 is a wasteful number, since it uses less digits than its factorization.

740467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991 (or 20983 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 740467040 is about 27211.5240293520. The cubic root of 740467040 is about 904.6944177530.

The spelling of 740467040 in words is "seven hundred forty million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 20753 35680 41506 83012 103765 166024 207530 332048 415060 664096 830120 1660240 3320480 4627919 9255838 18511676 23139595 37023352 46279190 74046704 92558380 148093408 185116760 370233520 740467040