Search a number
-
+
4296240000 = 2735541317
BaseRepresentation
bin1000000000001001…
…10110101110000000
3102002102010121100000
410000010312232000
532244314140000
61550151200000
7211315303023
oct40004665600
912072117300
104296240000
11190512a778
129ba976000
13536103c60
142ca8291ba
151a2290000
hex100136b80

4296240000 has 960 divisors, whose sum is σ = 18268089840. Its totient is φ = 995328000.

The previous prime is 4296239977. The next prime is 4296240001. The reversal of 4296240000 is 426924.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4296240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 252719992 + ... + 252720008.

Almost surely, 24296240000 is an apocalyptic number.

4296240000 is a gapful number since it is divisible by the number (40) 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 4296240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134044920).

4296240000 is an abundant number, since it is smaller than the sum of its proper divisors (13971849840).

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

4296240000 is an equidigital number, since it uses as much as digits as its factorization.

4296240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4296240000 is about 65545.7092417192. The cubic root of 4296240000 is about 1625.6592197152.

Adding to 4296240000 its reverse (426924), we get a palindrome (4296666924).

The spelling of 4296240000 in words is "four billion, two hundred ninety-six million, two hundred forty thousand".