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241020509 = 1724120341
BaseRepresentation
bin11100101110110…
…10111001011101
3121210112002222112
432113122321131
5443200124014
635525523405
75654432462
oct1627327135
9553462875
10241020509
11114060304
1268873565
133ac1a4b2
142401d669
151625d73e
hexe5dae5d

241020509 has 12 divisors (see below), whose sum is σ = 262289748. Its totient is φ = 221299200.

The previous prime is 241020499. The next prime is 241020517. The reversal of 241020509 is 905020142.

It can be written as a sum of positive squares in 6 ways, for example, as 1452025 + 239568484 = 1205^2 + 15478^2 .

It is not a de Polignac number, because 241020509 - 224 = 224243293 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241020589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1679 + ... + 22019.

It is an arithmetic number, because the mean of its divisors is an integer number (21857479).

Almost surely, 2241020509 is an apocalyptic number.

It is an amenable number.

241020509 is a deficient number, since it is larger than the sum of its proper divisors (21269239).

241020509 is a wasteful number, since it uses less digits than its factorization.

241020509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 241020509 is about 15524.8352326200. The cubic root of 241020509 is about 622.3260775495.

The spelling of 241020509 in words is "two hundred forty-one million, twenty thousand, five hundred nine".

Divisors: 1 17 41 289 697 11849 20341 345797 833981 5878549 14177677 241020509