Search a number
-
+
5729940480 = 210351123083
BaseRepresentation
bin1010101011000011…
…11111010000000000
3112210022220010122210
411111201333100000
543213331043410
62344324302120
7261664455555
oct52541772000
915708803583
105729940480
112480447100
12113ab41940
13704151b34
143c4dd0a2c
15238090220
hex15587f400

5729940480 has 264 divisors, whose sum is σ = 20150930016. Its totient is φ = 1388625920.

The previous prime is 5729940473. The next prime is 5729940487. The reversal of 5729940480 is 840499275.

It is an interprime number because it is at equal distance from previous prime (5729940473) and next prime (5729940487).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729940487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1857019 + ... + 1860101.

Almost surely, 25729940480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5729940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075465008).

5729940480 is an abundant number, since it is smaller than the sum of its proper divisors (14420989536).

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

5729940480 is a wasteful number, since it uses less digits than its factorization.

5729940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 5729940480 is about 75696.3703224930. The cubic root of 5729940480 is about 1789.4381974435.

It can be divided in two parts, 57299 and 40480, that added together give a palindrome (97779).

The spelling of 5729940480 in words is "five billion, seven hundred twenty-nine million, nine hundred forty thousand, four hundred eighty".