Search a number
-
+
20927289600 = 28345277379
BaseRepresentation
bin10011011111010111…
…010001100100000000
32000000110101110110000
4103133113101210000
5320324341231400
613340332240000
71340412012060
oct233727214400
960013343400
1020927289600
118969a00468
124080610000
131c868376c9
1410275073a0
15827388600
hex4df5d1900

20927289600 has 1080 divisors, whose sum is σ = 90777800960. Its totient is φ = 4658135040.

The previous prime is 20927289599. The next prime is 20927289601. The reversal of 20927289600 is 698272902.

It is an interprime number because it is at equal distance from previous prime (20927289599) and next prime (20927289601).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20927289601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264902361 + ... + 264902439.

Almost surely, 220927289600 is an apocalyptic number.

20927289600 is a gapful number since it is divisible by the number (20) 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 20927289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45388900480).

20927289600 is an abundant number, since it is smaller than the sum of its proper divisors (69850511360).

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

20927289600 is an equidigital number, since it uses as much as digits as its factorization.

20927289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20927289600 in words is "twenty billion, nine hundred twenty-seven million, two hundred eighty-nine thousand, six hundred".