Search a number
-
+
8109138240 = 263257402239
BaseRepresentation
bin1111000110101011…
…11010000101000000
3202221010202220102100
413203111322011000
5113101414410430
63420354550400
7404644352310
oct74325720500
922833686370
108109138240
113491440645
1216a3898400
139c3036168
1456cd97440
15326da7960
hex1e357a140

8109138240 has 168 divisors, whose sum is σ = 31876715520. Its totient is φ = 1853512704.

The previous prime is 8109138223. The next prime is 8109138259. The reversal of 8109138240 is 428319018.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 8109138195 and 8109138204.

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, 180960 + ... + 221279.

Almost surely, 28109138240 is an apocalyptic number.

8109138240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8109138240 is an abundant number, since it is smaller than the sum of its proper divisors (23767577280).

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

8109138240 is a wasteful number, since it uses less digits than its factorization.

8109138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402269 (or 402256 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8109138240 is about 90050.7536892390. The cubic root of 8109138240 is about 2009.0538057876.

The spelling of 8109138240 in words is "eight billion, one hundred nine million, one hundred thirty-eight thousand, two hundred forty".