Search a number
-
+
700705038 = 231137436673
BaseRepresentation
bin101001110000111…
…110100100001110
31210211111111121110
4221300332210032
52413340030123
6153310312450
723235615555
oct5160764416
91724444543
10700705038
1132a591080
121767b8726
13b2228287
14690bcd9c
15417b1493
hex29c3e90e

700705038 has 64 divisors (see below), whose sum is σ = 1606885632. Its totient is φ = 201761280.

The previous prime is 700705003. The next prime is 700705039. The reversal of 700705038 is 830507007.

700705038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 700704996 and 700705014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700705039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101670 + ... + 108342.

It is an arithmetic number, because the mean of its divisors is an integer number (25107588).

Almost surely, 2700705038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700705038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803442816).

700705038 is an abundant number, since it is smaller than the sum of its proper divisors (906180594).

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

700705038 is a wasteful number, since it uses less digits than its factorization.

700705038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 700705038 is about 26470.8337231754. The cubic root of 700705038 is about 888.2019998419.

The spelling of 700705038 in words is "seven hundred million, seven hundred five thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 814 946 1221 1419 1591 2442 2838 3182 4773 6673 9546 13346 17501 20019 35002 40038 52503 73403 105006 146806 220209 246901 286939 440418 493802 573878 740703 860817 1481406 1721634 2715911 3156329 5431822 6312658 8147733 9468987 10616743 16295466 18937974 21233486 31850229 63700458 116784173 233568346 350352519 700705038