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4020215424 = 27310469311
BaseRepresentation
bin1110111110011111…
…1001111010000000
3101101011202002210120
43233213321322000
531213133343144
61502531100240
7201424160451
oct35747717200
911334662716
104020215424
111783341395
12942441680
134c0b7bbc4
142a1cd7128
15187e19e19
hexef9f9e80

4020215424 has 32 divisors (see below), whose sum is σ = 10678698240. Its totient is φ = 1340071680.

The previous prime is 4020215417. The next prime is 4020215429. The reversal of 4020215424 is 4245120204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4020215394 and 4020215403.

It is not an unprimeable number, because it can be changed into a prime (4020215429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5234272 + ... + 5235039.

It is an arithmetic number, because the mean of its divisors is an integer number (333709320).

Almost surely, 24020215424 is an apocalyptic number.

It is an amenable number.

4020215424 is an abundant number, since it is smaller than the sum of its proper divisors (6658482816).

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

4020215424 is a wasteful number, since it uses less digits than its factorization.

4020215424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469328 (or 10469316 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4020215424 is about 63405.1687482969. The cubic root of 4020215424 is about 1590.0707250689.

Adding to 4020215424 its reverse (4245120204), we get a palindrome (8265335628).

The spelling of 4020215424 in words is "four billion, twenty million, two hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10469311 20938622 31407933 41877244 62815866 83754488 125631732 167508976 251263464 335017952 502526928 670035904 1005053856 1340071808 2010107712 4020215424