Search a number
-
+
700701120 = 26325734757
BaseRepresentation
bin101001110000111…
…101100111000000
31210211111022020100
4221300331213000
52413334413440
6153310242400
723235601260
oct5160754700
91724438210
10700701120
1132a589139
121767b6400
13b2226562
14690bb7a0
15417b0230
hex29c3d9c0

700701120 has 168 divisors, whose sum is σ = 2754501984. Its totient is φ = 160155648.

The previous prime is 700701119. The next prime is 700701143. The reversal of 700701120 is 21107007.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 700701093 and 700701102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782 + ... + 37538.

Almost surely, 2700701120 is an apocalyptic number.

700701120 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 700701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377250992).

700701120 is an abundant number, since it is smaller than the sum of its proper divisors (2053800864).

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

700701120 is a wasteful number, since it uses less digits than its factorization.

700701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34774 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 700701120 is about 26470.7597170916. The cubic root of 700701120 is about 888.2003443751.

Adding to 700701120 its reverse (21107007), we get a palindrome (721808127).

The spelling of 700701120 in words is "seven hundred million, seven hundred one thousand, one hundred twenty".