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121815232 = 26711191301
BaseRepresentation
bin1110100001011…
…00000011000000
322111012212002021
413100230003000
5222141041412
620030531224
73006261310
oct720540300
9274185067
10121815232
1162841650
1234966b14
131c311226
141226d440
15aa63607
hex742c0c0

121815232 has 112 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 44928000.

The previous prime is 121815229. The next prime is 121815233. The reversal of 121815232 is 232518121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 121815197 and 121815206.

It is not an unprimeable number, because it can be changed into a prime (121815233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92982 + ... + 94282.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2121815232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

121815232 is an abundant number, since it is smaller than the sum of its proper divisors (195664448).

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

121815232 is a wasteful number, since it uses less digits than its factorization.

121815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1340 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 121815232 is about 11036.9937936016. The cubic root of 121815232 is about 495.7170602738.

The spelling of 121815232 in words is "one hundred twenty-one million, eight hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 1064 1216 1232 1301 1463 1672 2128 2464 2602 2926 3344 4256 4928 5204 5852 6688 8512 9107 10408 11704 13376 14311 18214 20816 23408 24719 28622 36428 41632 46816 49438 57244 72856 83264 93632 98876 100177 114488 145712 173033 197752 200354 228976 271909 291424 346066 395504 400708 457952 543818 582848 692132 791008 801416 915904 1087636 1384264 1582016 1602832 1903363 2175272 2768528 3205664 3806726 4350544 5537056 6411328 7613452 8701088 11074112 15226904 17402176 30453808 60907616 121815232