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239161104 = 243271318251
BaseRepresentation
bin11100100000101…
…00111100010000
3121200000122100200
432100110330100
5442211123404
635422015200
75632556460
oct1620247420
9550018320
10239161104
11113000306
1268117500
133a719060
1423a97ba0
1515ee2839
hexe414f10

239161104 has 120 divisors (see below), whose sum is σ = 823822272. Its totient is φ = 63072000.

The previous prime is 239161103. The next prime is 239161121. The reversal of 239161104 is 401161932.

It is not an unprimeable number, because it can be changed into a prime (239161103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3979 + ... + 22229.

Almost surely, 2239161104 is an apocalyptic number.

239161104 is a gapful number since it is divisible by the number (24) 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 239161104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411911136).

239161104 is an abundant number, since it is smaller than the sum of its proper divisors (584661168).

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

239161104 is a wasteful number, since it uses less digits than its factorization.

239161104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18285 (or 18276 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 239161104 is about 15464.8344317034. The cubic root of 239161104 is about 620.7215878795.

The spelling of 239161104 in words is "two hundred thirty-nine million, one hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 18251 36502 54753 73004 109506 127757 146008 164259 219012 237263 255514 292016 328518 383271 438024 474526 511028 657036 711789 766542 876048 949052 1022056 1149813 1314072 1423578 1533084 1660841 1898104 2044112 2135367 2299626 2628144 2847156 3066168 3321682 3796208 4270734 4599252 4982523 5694312 6132336 6643364 8541468 9198504 9965046 11388624 13286728 14947569 17082936 18397008 19930092 26573456 29895138 34165872 39860184 59790276 79720368 119580552 239161104