Search a number
-
+
123965145 = 3255351977
BaseRepresentation
bin1110110001110…
…00111011011001
322122021002012200
413120320323121
5223213341040
620145000413
73033454263
oct730707331
9278232180
10123965145
1163a7a937
1235623109
131c8b4975
141266cb33
15ad3a630
hex7638ed9

123965145 has 24 divisors (see below), whose sum is σ = 218931336. Its totient is φ = 64866048.

The previous prime is 123965143. The next prime is 123965161. The reversal of 123965145 is 541569321.

It can be written as a sum of positive squares in 4 ways, for example, as 37307664 + 86657481 = 6108^2 + 9309^2 .

It is not a de Polignac number, because 123965145 - 21 = 123965143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123965143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23604 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (9122139).

Almost surely, 2123965145 is an apocalyptic number.

123965145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123965145 is a deficient number, since it is larger than the sum of its proper divisors (94966191).

123965145 is a wasteful number, since it uses less digits than its factorization.

123965145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52041 (or 52038 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 123965145 is about 11133.9635799656. The cubic root of 123965145 is about 498.6163679901.

The spelling of 123965145 in words is "one hundred twenty-three million, nine hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 51977 155931 259885 467793 779655 2338965 2754781 8264343 13773905 24793029 41321715 123965145