Search a number
-
+
108317440 = 2857211157
BaseRepresentation
bin1100111010011…
…00101100000000
321112211002121001
412131030230000
5210212124230
614425341344
72453453200
oct635145400
9245732531
10108317440
1156162550
1230337854
131959657a
1410558400
1597990ca
hex674cb00

108317440 has 216 divisors, whose sum is σ = 331348752. Its totient is φ = 33546240.

The previous prime is 108317413. The next prime is 108317467. The reversal of 108317440 is 44713801.

It is an interprime number because it is at equal distance from previous prime (108317413) and next prime (108317467).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 108317399 and 108317408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689842 + ... + 689998.

It is an arithmetic number, because the mean of its divisors is an integer number (1534022).

Almost surely, 2108317440 is an apocalyptic number.

108317440 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 108317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165674376).

108317440 is an abundant number, since it is smaller than the sum of its proper divisors (223031312).

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

108317440 is a wasteful number, since it uses less digits than its factorization.

108317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 108317440 is about 10407.5664782888. The cubic root of 108317440 is about 476.6864375279.

It can be divided in two parts, 10 and 8317440, that multiplied together give a square (83174400 = 91202).

The spelling of 108317440 in words is "one hundred eight million, three hundred seventeen thousand, four hundred forty".