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239909121 = 3417212
BaseRepresentation
bin11100100110010…
…11100100000001
3121201102122110000
432103023210001
5442404042441
635450030213
75642123334
oct1623134401
9551378400
10239909121
11113471301
1268418369
133a91b67a
1423c1061b
15160de2b6
hexe4cb901

239909121 has 15 divisors (see below), whose sum is σ = 358591123. Its totient is φ = 159846480.

The previous prime is 239909101. The next prime is 239909123. The reversal of 239909121 is 121909932.

It is a happy number.

The square root of 239909121 is 15489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 177182721 + 62726400 = 13311^2 + 7920^2 .

It is not a de Polignac number, because 239909121 - 29 = 239908609 is a prime.

It is a super-3 number, since 3×2399091213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (239909123) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 138541 + ... + 140261.

Almost surely, 2239909121 is an apocalyptic number.

239909121 is the 15489-th square number.

239909121 is the 7745-th centered octagonal number.

It is an amenable number.

239909121 is a deficient number, since it is larger than the sum of its proper divisors (118682002).

239909121 is an frugal number, since it uses more digits than its factorization.

239909121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The cubic root of 239909121 is about 621.3680517927.

Multiplying 239909121 by its sum of digits (36), we get a square (8636728356 = 929342).

The spelling of 239909121 in words is "two hundred thirty-nine million, nine hundred nine thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 1721 5163 15489 46467 139401 2961841 8885523 26656569 79969707 239909121