Search a number
-
+
103440640 = 285211383
BaseRepresentation
bin1100010101001…
…10000100000000
321012122022212211
412022212010000
5202440100030
614133031504
72364142132
oct612460400
9235568784
10103440640
1153431536
122a785594
13185798a4
14da49052
15913412a
hex62a6100

103440640 has 72 divisors (see below), whose sum is σ = 249596928. Its totient is φ = 41072640.

The previous prime is 103440619. The next prime is 103440713. The reversal of 103440640 is 46044301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269889 + ... + 270271.

It is an arithmetic number, because the mean of its divisors is an integer number (3466624).

Almost surely, 2103440640 is an apocalyptic number.

103440640 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 103440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798464).

103440640 is an abundant number, since it is smaller than the sum of its proper divisors (146156288).

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

103440640 is an equidigital number, since it uses as much as digits as its factorization.

103440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 103440640 is about 10170.5771714294. The cubic root of 103440640 is about 469.4223172647.

Adding to 103440640 its reverse (46044301), we get a palindrome (149484941).

The spelling of 103440640 in words is "one hundred three million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 211 256 320 383 422 640 766 844 1055 1280 1532 1688 1915 2110 3064 3376 3830 4220 6128 6752 7660 8440 12256 13504 15320 16880 24512 27008 30640 33760 49024 54016 61280 67520 80813 98048 122560 135040 161626 245120 270080 323252 404065 490240 646504 808130 1293008 1616260 2586016 3232520 5172032 6465040 10344064 12930080 20688128 25860160 51720320 103440640