Search a number
-
+
8925143040 = 213325113171
BaseRepresentation
bin10000100111111101…
…01110000000000000
3212001000020020120100
420103332232000000
5121234314034130
64033344442400
7434113315122
oct102376560000
925030206510
108925143040
113870013080
121891019400
13ac3100b38
146094cb212
15373841c60
hex213fae000

8925143040 has 672 divisors, whose sum is σ = 35330660352. Its totient is φ = 2064384000.

The previous prime is 8925143039. The next prime is 8925143083. The reversal of 8925143040 is 403415298.

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

It is a junction number, because it is equal to n+sod(n) for n = 8925142986 and 8925143004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125706205 + ... + 125706275.

Almost surely, 28925143040 is an apocalyptic number.

8925143040 is a gapful number since it is divisible by the number (80) 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 8925143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665330176).

8925143040 is an abundant number, since it is smaller than the sum of its proper divisors (26405517312).

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

8925143040 is a wasteful number, since it uses less digits than its factorization.

8925143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8925143040 is about 94472.9751833825. The cubic root of 8925143040 is about 2074.3007690940.

The spelling of 8925143040 in words is "eight billion, nine hundred twenty-five million, one hundred forty-three thousand, forty".