Search a number
-
+
5235678000 = 243953719
BaseRepresentation
bin1001110000001001…
…00001101100110000
3111111212212000000000
410320010201230300
541210313144000
62223310430000
7243513346230
oct47004415460
914455760000
105235678000
112247449413
121021502300
13655928427
143794cdcc0
152099ac000
hex138121b30

5235678000 has 800 divisors, whose sum is σ = 22844490240. Its totient is φ = 1133740800.

The previous prime is 5235677999. The next prime is 5235678001. The reversal of 5235678000 is 8765325.

5235678000 is a `hidden beast` number, since 523 + 56 + 7 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5235677999) and next prime (5235678001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235678001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275561991 + ... + 275562009.

Almost surely, 25235678000 is an apocalyptic number.

5235678000 is a gapful number since it is divisible by the number (50) 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 5235678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422245120).

5235678000 is an abundant number, since it is smaller than the sum of its proper divisors (17608812240).

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

5235678000 is an frugal number, since it uses more digits than its factorization.

5235678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5235678000 is about 72357.9850465724. The cubic root of 5235678000 is about 1736.4314496725.

The spelling of 5235678000 in words is "five billion, two hundred thirty-five million, six hundred seventy-eight thousand".