Search a number
-
+
4053702240 = 253357373623
BaseRepresentation
bin1111000110011110…
…1001011001100000
3101110111202102002000
43301213221121200
531300221432430
61510124524000
7202311620610
oct36147513140
911414672060
104053702240
1117a0233545
129516b0600
134c7aa4ca3
142a6532a40
1518ad31e60
hexf19e9660

4053702240 has 384 divisors, whose sum is σ = 16657643520. Its totient is φ = 901269504.

The previous prime is 4053702239. The next prime is 4053702253. The reversal of 4053702240 is 422073504.

4053702240 is a `hidden beast` number, since 405 + 37 + 0 + 224 + 0 = 666.

4053702240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117069 + ... + 1120691.

It is an arithmetic number, because the mean of its divisors is an integer number (43379280).

Almost surely, 24053702240 is an apocalyptic number.

4053702240 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 4053702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328821760).

4053702240 is an abundant number, since it is smaller than the sum of its proper divisors (12603941280).

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

4053702240 is a wasteful number, since it uses less digits than its factorization.

4053702240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4053702240 is about 63668.6912069033. The cubic root of 4053702240 is about 1594.4734116591.

Adding to 4053702240 its reverse (422073504), we get a palindrome (4475775744).

The spelling of 4053702240 in words is "four billion, fifty-three million, seven hundred two thousand, two hundred forty".