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103140320 = 255897243
BaseRepresentation
bin1100010010111…
…00101111100000
321012002001220212
412021130233200
5202400442240
614122353252
72361451433
oct611345740
9235061825
10103140320
1153246938
122a65b828
13184a2c9a
14d9ab81a
1590c5165
hex625cbe0

103140320 has 48 divisors (see below), whose sum is σ = 246440880. Its totient is φ = 40786944.

The previous prime is 103140293. The next prime is 103140329. The reversal of 103140320 is 23041301.

It is a junction number, because it is equal to n+sod(n) for n = 103140295 and 103140304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103140329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10619 + ... + 17861.

It is an arithmetic number, because the mean of its divisors is an integer number (5134185).

Almost surely, 2103140320 is an apocalyptic number.

103140320 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 103140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123220440).

103140320 is an abundant number, since it is smaller than the sum of its proper divisors (143300560).

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

103140320 is an equidigital number, since it uses as much as digits as its factorization.

103140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7339 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103140320 is about 10155.8022824393. The cubic root of 103140320 is about 468.9675844379.

Adding to 103140320 its reverse (23041301), we get a palindrome (126181621).

The spelling of 103140320 in words is "one hundred three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 7243 14240 14486 28972 36215 57944 72430 115888 144860 231776 289720 579440 644627 1158880 1289254 2578508 3223135 5157016 6446270 10314032 12892540 20628064 25785080 51570160 103140320