Search a number
-
+
108386880 = 263571272
BaseRepresentation
bin1100111010111…
…01101001000000
321112221121211220
412131131221000
5210221340010
614431035040
72454162510
oct635355100
9245847756
10108386880
11561aa738
123036ba80
13195bc064
1410575840
1597ae970
hex675da40

108386880 has 168 divisors, whose sum is σ = 396410688. Its totient is φ = 24579072.

The previous prime is 108386869. The next prime is 108386897. The reversal of 108386880 is 88683801.

It is a happy number.

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

It is a super-2 number, since 2×1083868802 = 23495431512268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 853377 + ... + 853503.

Almost surely, 2108386880 is an apocalyptic number.

108386880 is a gapful number since it is divisible by the number (10) 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 108386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198205344).

108386880 is an abundant number, since it is smaller than the sum of its proper divisors (288023808).

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

108386880 is an equidigital number, since it uses as much as digits as its factorization.

108386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 108386880 is about 10410.9019782150. The cubic root of 108386880 is about 476.7882802699.

The spelling of 108386880 in words is "one hundred eight million, three hundred eighty-six thousand, eight hundred eighty".