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4020116240 = 24577178779
BaseRepresentation
bin1110111110011110…
…0001101100010000
3101101011120001202002
43233213201230100
531213122204430
61502525013132
7201423265340
oct35747415420
911334501662
104020116240
111783283918
129423b41a8
134c0b45a0a
142a1cacd20
15187dea845
hexef9e1b10

4020116240 has 40 divisors (see below), whose sum is σ = 10682024640. Its totient is φ = 1378325376.

The previous prime is 4020116237. The next prime is 4020116263. The reversal of 4020116240 is 426110204.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40201162402 = 32322669166223475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 3588830 + ... + 3589949.

It is an arithmetic number, because the mean of its divisors is an integer number (267050616).

Almost surely, 24020116240 is an apocalyptic number.

4020116240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020116240 is an abundant number, since it is smaller than the sum of its proper divisors (6661908400).

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

4020116240 is a wasteful number, since it uses less digits than its factorization.

4020116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178799 (or 7178793 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4020116240 is about 63404.3865990359. The cubic root of 4020116240 is about 1590.0576485829.

Adding to 4020116240 its reverse (426110204), we get a palindrome (4446226444).

The spelling of 4020116240 in words is "four billion, twenty million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7178779 14357558 28715116 35893895 50251453 57430232 71787790 100502906 114860464 143575580 201005812 251257265 287151160 402011624 502514530 574302320 804023248 1005029060 2010058120 4020116240