Search a number
-
+
720725040 = 24345715889
BaseRepresentation
bin101010111101010…
…110010000110000
31212020011121220000
4222331112100300
52434001200130
6155303350000
723601030120
oct5275262060
91766147800
10720725040
1133a915432
12181452300
13b6417829
146ba10c80
1543418260
hex2af56430

720725040 has 200 divisors, whose sum is σ = 2860962720. Its totient is φ = 164726784.

The previous prime is 720725017. The next prime is 720725041. The reversal of 720725040 is 40527027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 720724995 and 720725013.

It is not an unprimeable number, because it can be changed into a prime (720725041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37416 + ... + 53304.

Almost surely, 2720725040 is an apocalyptic number.

720725040 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 720725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430481360).

720725040 is an abundant number, since it is smaller than the sum of its proper divisors (2140237680).

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

720725040 is a wasteful number, since it uses less digits than its factorization.

720725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15906 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 720725040 is about 26846.3226532052. The cubic root of 720725040 is about 896.5817000207.

The spelling of 720725040 in words is "seven hundred twenty million, seven hundred twenty-five thousand, forty".