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20434412020 = 22511711308221
BaseRepresentation
bin10011000001111111…
…000110000111110100
31221202002221200111211
4103001333012013310
5313322202141040
613215404211204
71322245431151
oct230177060764
957662850454
1020434412020
118736769220
123b63539b04
131c086a7479
14dbbc87228
157e8e7a8ea
hex4c1fc61f4

20434412020 has 48 divisors (see below), whose sum is σ = 47472759936. Its totient is φ = 7326032000.

The previous prime is 20434412003. The next prime is 20434412023. The reversal of 20434412020 is 2021443402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20434411982 and 20434412000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434412023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638491 + ... + 669730.

It is an arithmetic number, because the mean of its divisors is an integer number (989015832).

Almost surely, 220434412020 is an apocalyptic number.

20434412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434412020 is an abundant number, since it is smaller than the sum of its proper divisors (27038347916).

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

20434412020 is a wasteful number, since it uses less digits than its factorization.

20434412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308312 (or 1308310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20434412020 its reverse (2021443402), we get a palindrome (22455855422).

The spelling of 20434412020 in words is "twenty billion, four hundred thirty-four million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 1308221 2616442 5232884 6541105 13082210 14390431 26164420 28780862 57561724 71952155 92883691 143904310 185767382 287808620 371534764 464418455 928836910 1021720601 1857673820 2043441202 4086882404 5108603005 10217206010 20434412020