Search a number
-
+
108697680 = 24335721379
BaseRepresentation
bin1100111101010…
…01100001010000
321120112102012000
412132221201100
5210311311210
614441434000
72456625600
oct636514120
9246472160
10108697680
11563a21a3
123049b900
131969a670
1410616c00
159821ac0
hex67a9850

108697680 has 480 divisors, whose sum is σ = 474969600. Its totient is φ = 22643712.

The previous prime is 108697639. The next prime is 108697681. The reversal of 108697680 is 86796801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108697681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375881 + ... + 1375959.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2108697680 is an apocalyptic number.

108697680 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 108697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

108697680 is an abundant number, since it is smaller than the sum of its proper divisors (366271920).

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

108697680 is a wasteful number, since it uses less digits than its factorization.

108697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 108697680 is about 10425.8179535229. The cubic root of 108697680 is about 477.2435764014.

The spelling of 108697680 in words is "one hundred eight million, six hundred ninety-seven thousand, six hundred eighty".