Search a number
-
+
20185407360 = 27355129793
BaseRepresentation
bin10010110011001001…
…001101111110000000
31221002202101221100000
4102303021031332000
5312314431013420
613134551200000
71313133063066
oct226311157600
957082357300
1020185407360
118619155348
123ab4076000
131b98c22b31
14d96b8a036
157d2191690
hex4b324df80

20185407360 has 192 divisors, whose sum is σ = 72284874480. Its totient is φ = 5382733824.

The previous prime is 20185407343. The next prime is 20185407413. The reversal of 20185407360 is 6370458102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90624 + ... + 220416.

Almost surely, 220185407360 is an apocalyptic number.

20185407360 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 20185407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36142437240).

20185407360 is an abundant number, since it is smaller than the sum of its proper divisors (52099467120).

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

20185407360 is an equidigital number, since it uses as much as digits as its factorization.

20185407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129827 (or 129803 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20185407360 in words is "twenty billion, one hundred eighty-five million, four hundred seven thousand, three hundred sixty".