Search a number
-
+
720775146 = 2371317196167
BaseRepresentation
bin101010111101100…
…010011111101010
31212020021011121210
4222331202133222
52434004301041
6155304413550
723601326160
oct5275423752
91766234553
10720775146
1133a94a043
121814772b6
13b6434590
146ba25230
1543428016
hex2af627ea

720775146 has 256 divisors, whose sum is σ = 2039869440. Its totient is φ = 164229120.

The previous prime is 720775117. The next prime is 720775147. The reversal of 720775146 is 641577027.

720775146 is nontrivially palindromic in base 4.

It is a super-2 number, since 2×7207751462 = 1039033622182642632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (720775147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10757805 + ... + 10757871.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2720775146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720775146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

720775146 is an abundant number, since it is smaller than the sum of its proper divisors (1319094294).

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

720775146 is a wasteful number, since it uses less digits than its factorization.

720775146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 720775146 is about 26847.2558374222. The cubic root of 720775146 is about 896.6024768214.

The spelling of 720775146 in words is "seven hundred twenty million, seven hundred seventy-five thousand, one hundred forty-six".