Search a number
-
+
716525040 = 2435721129191
BaseRepresentation
bin101010101101010…
…100110111110000
31211221021020120110
4222231110313300
52431412300130
6155033341320
723520235200
oct5255246760
91757236513
10716525040
11338506960
1217bb67840
13b55a6c1a
146b23a400
1542d88ab0
hex2ab54df0

716525040 has 480 divisors, whose sum is σ = 2931240960. Its totient is φ = 143001600.

The previous prime is 716525021. The next prime is 716525063. The reversal of 716525040 is 40525617.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 716524989 and 716525007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3751345 + ... + 3751535.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2716525040 is an apocalyptic number.

716525040 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 716525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465620480).

716525040 is an abundant number, since it is smaller than the sum of its proper divisors (2214715920).

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

716525040 is a wasteful number, since it uses less digits than its factorization.

716525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 716525040 is about 26767.9853556445. The cubic root of 716525040 is about 894.8367064738.

The spelling of 716525040 in words is "seven hundred sixteen million, five hundred twenty-five thousand, forty".