Search a number
-
+
103008645 = 335763027
BaseRepresentation
bin1100010001111…
…00100110000101
321011211101022000
412020330212011
5202332234040
614115455513
72360362515
oct610744605
9234741260
10103008645
1153166a13
122a5b7599
131845807c
14d975845
15909b130
hex623c985

103008645 has 16 divisors (see below), whose sum is σ = 183126720. Its totient is φ = 54937872.

The previous prime is 103008641. The next prime is 103008649. The reversal of 103008645 is 546800301.

103008645 is a `hidden beast` number, since 10 + 3 + 0 + 0 + 8 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (103008641) and next prime (103008649).

It is not a de Polignac number, because 103008645 - 22 = 103008641 is a prime.

It is a super-2 number, since 2×1030086452 = 21221561889472050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103008641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381379 + ... + 381648.

It is an arithmetic number, because the mean of its divisors is an integer number (11445420).

Almost surely, 2103008645 is an apocalyptic number.

103008645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103008645 is a deficient number, since it is larger than the sum of its proper divisors (80118075).

103008645 is an equidigital number, since it uses as much as digits as its factorization.

103008645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763041 (or 763035 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103008645 is about 10149.3174647362. The cubic root of 103008645 is about 468.7679289142.

Adding to 103008645 its reverse (546800301), we get a palindrome (649808946).

The spelling of 103008645 in words is "one hundred three million, eight thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 763027 2289081 3815135 6867243 11445405 20601729 34336215 103008645