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4023012240 = 24325132914821
BaseRepresentation
bin1110111111001010…
…0100101110010000
3101101101000012022100
43233302210232100
531214342342430
61503111040400
7201460016442
oct35762445620
911341005270
104023012240
111784981705
12943370100
134c161ac20
142a2424492
151882bd960
hexefca4b90

4023012240 has 240 divisors, whose sum is σ = 15052630320. Its totient is φ = 956067840.

The previous prime is 4023012233. The next prime is 4023012289. The reversal of 4023012240 is 422103204.

It can be written as a sum of positive squares in 8 ways, for example, as 317124864 + 3705887376 = 17808^2 + 60876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264030 + ... + 278850.

It is an arithmetic number, because the mean of its divisors is an integer number (62719293).

Almost surely, 24023012240 is an apocalyptic number.

4023012240 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 4023012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526315160).

4023012240 is an abundant number, since it is smaller than the sum of its proper divisors (11029618080).

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

4023012240 is a wasteful number, since it uses less digits than its factorization.

4023012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14882 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4023012240 is about 63427.2200242136. The cubic root of 4023012240 is about 1590.4393706846.

Adding to 4023012240 its reverse (422103204), we get a palindrome (4445115444).

The spelling of 4023012240 in words is "four billion, twenty-three million, twelve thousand, two hundred forty".