Search a number
-
+
103243140 = 2233571113191
BaseRepresentation
bin1100010011101…
…01110110000100
321012021021222000
412021311312010
5202412240030
614124505300
72362360260
oct611656604
9235237860
10103243140
1153307110
122a6ab230
131850aa20
14d9d70a0
1590e5860
hex6275d84

103243140 has 384 divisors, whose sum is σ = 433520640. Its totient is φ = 19699200.

The previous prime is 103243121. The next prime is 103243201. The reversal of 103243140 is 41342301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 540445 + ... + 540635.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2103243140 is an apocalyptic number.

103243140 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 103243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

103243140 is an abundant number, since it is smaller than the sum of its proper divisors (330277500).

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

103243140 is a wasteful number, since it uses less digits than its factorization.

103243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103243140 is about 10160.8631523114. The cubic root of 103243140 is about 469.1233697238.

Adding to 103243140 its reverse (41342301), we get a palindrome (144585441).

The spelling of 103243140 in words is "one hundred three million, two hundred forty-three thousand, one hundred forty".