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20231006160 = 243584295859
BaseRepresentation
bin10010110101110111…
…001010011111010000
31221012221012121010110
4102311313022133100
5312413114144120
613143300401320
71314225500151
oct226567123720
957187177113
1020231006160
11864196a402
123b073a6240
131ba54c9b81
14d9cc59928
157d619c2e0
hex4b5dca7d0

20231006160 has 40 divisors (see below), whose sum is σ = 62716119840. Its totient is φ = 5394934912.

The previous prime is 20231006119. The next prime is 20231006171. The reversal of 20231006160 is 6160013202.

It is a happy number.

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

It is a super-4 number, since 4×202310061604 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42147690 + ... + 42148169.

It is an arithmetic number, because the mean of its divisors is an integer number (1567902996).

Almost surely, 220231006160 is an apocalyptic number.

20231006160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231006160 is an abundant number, since it is smaller than the sum of its proper divisors (42485113680).

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

20231006160 is a wasteful number, since it uses less digits than its factorization.

20231006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84295875 (or 84295869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20231006160 its reverse (6160013202), we get a palindrome (26391019362).

The spelling of 20231006160 in words is "twenty billion, two hundred thirty-one million, six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 84295859 168591718 252887577 337183436 421479295 505775154 674366872 842958590 1011550308 1264437885 1348733744 1685917180 2023100616 2528875770 3371834360 4046201232 5057751540 6743668720 10115503080 20231006160