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104861232 = 24327234523
BaseRepresentation
bin1100100000000…
…00111000110000
321022022111120100
412100000320300
5203321024412
614223312400
72412206610
oct620007060
9238274510
10104861232
1154211883
122b14b700
1318956388
14dcd8a40
159314edc
hex6400e30

104861232 has 120 divisors (see below), whose sum is σ = 350049024. Its totient is φ = 28651392.

The previous prime is 104861221. The next prime is 104861261. The reversal of 104861232 is 232168401.

104861232 is a `hidden beast` number, since 1 + 0 + 48 + 612 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104861196 and 104861205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20923 + ... + 25445.

Almost surely, 2104861232 is an apocalyptic number.

104861232 is a gapful number since it is divisible by the number (12) 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 104861232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024512).

104861232 is an abundant number, since it is smaller than the sum of its proper divisors (245187792).

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

104861232 is a wasteful number, since it uses less digits than its factorization.

104861232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104861232 is about 10240.1773422143. The cubic root of 104861232 is about 471.5614762628.

The spelling of 104861232 in words is "one hundred four million, eight hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 4523 5796 7728 9046 11592 13569 18092 23184 27138 31661 36184 40707 54276 63322 72368 81414 94983 104029 108552 126644 162828 189966 208058 217104 253288 284949 312087 325656 379932 416116 506576 569898 624174 651312 728203 759864 832232 936261 1139796 1248348 1456406 1519728 1664464 1872522 2184609 2279592 2496696 2912812 3745044 4369218 4559184 4993392 5825624 6553827 7490088 8738436 11651248 13107654 14980176 17476872 26215308 34953744 52430616 104861232