Search a number
-
+
102080440 = 235711223131
BaseRepresentation
bin1100001010110…
…01111110111000
321010002020001001
412011121332320
5202113033230
614043534344
72346445420
oct605317670
9233066031
10102080440
1152692600
122a22a3b4
13181c1737
14d7b3480
158e660ca
hex6159fb8

102080440 has 192 divisors, whose sum is σ = 303367680. Its totient is φ = 30201600.

The previous prime is 102080437. The next prime is 102080449. The reversal of 102080440 is 44080201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102080449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779175 + ... + 779305.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2102080440 is an apocalyptic number.

102080440 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 102080440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

102080440 is an abundant number, since it is smaller than the sum of its proper divisors (201287240).

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

102080440 is a wasteful number, since it uses less digits than its factorization.

102080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 102080440 is about 10103.4865269371. The cubic root of 102080440 is about 467.3556647853.

The spelling of 102080440 in words is "one hundred two million, eighty thousand, four hundred forty".