[go: up one dir, main page]

Search a number
-
+
121705650 = 2325211231069
BaseRepresentation
bin1110100000100…
…01010010110010
322111000021202200
413100101102302
5222124040100
620024324030
73005323653
oct720212262
9274007680
10121705650
1162777290
1234913616
131c2a33a1
141224152a
15aa40e00
hex74114b2

121705650 has 144 divisors (see below), whose sum is σ = 372565440. Its totient is φ = 28195200.

The previous prime is 121705603. The next prime is 121705651. The reversal of 121705650 is 56507121.

121705650 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 5 + 650 = 666.

It is not an unprimeable number, because it can be changed into a prime (121705651) 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 71 ways as a sum of consecutive naturals, for example, 113316 + ... + 114384.

It is an arithmetic number, because the mean of its divisors is an integer number (2587260).

Almost surely, 2121705650 is an apocalyptic number.

121705650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121705650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186282720).

121705650 is an abundant number, since it is smaller than the sum of its proper divisors (250859790).

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

121705650 is a wasteful number, since it uses less digits than its factorization.

121705650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 121705650 is about 11032.0283719722. The cubic root of 121705650 is about 495.5683707026.

The spelling of 121705650 in words is "one hundred twenty-one million, seven hundred five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 25 30 33 45 46 50 55 66 69 75 90 99 110 115 138 150 165 198 207 225 230 253 275 330 345 414 450 495 506 550 575 690 759 825 990 1035 1069 1150 1265 1518 1650 1725 2070 2138 2277 2475 2530 3207 3450 3795 4554 4950 5175 5345 6325 6414 7590 9621 10350 10690 11385 11759 12650 16035 18975 19242 22770 23518 24587 26725 32070 35277 37950 48105 49174 53450 56925 58795 70554 73761 80175 96210 105831 113850 117590 122935 147522 160350 176385 211662 221283 240525 245870 270457 293975 352770 368805 442566 481050 529155 540914 587950 614675 737610 811371 881925 1058310 1106415 1229350 1352285 1622742 1763850 1844025 2212830 2434113 2645775 2704570 3688050 4056855 4868226 5291550 5532075 6761425 8113710 11064150 12170565 13522850 20284275 24341130 40568550 60852825 121705650