Search a number
-
+
121935450 = 23527138933
BaseRepresentation
bin1110100010010…
…01011001011010
322111102221222210
413101021121122
5222203413300
620033255550
73010301640
oct721113132
9274387883
10121935450
11629139aa
1234a045b6
131c353b70
14122a1190
15aa89050
hex744965a

121935450 has 96 divisors (see below), whose sum is σ = 372226176. Its totient is φ = 25724160.

The previous prime is 121935433. The next prime is 121935467. The reversal of 121935450 is 54539121.

It is an interprime number because it is at equal distance from previous prime (121935433) and next prime (121935467).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9184 + ... + 18116.

It is an arithmetic number, because the mean of its divisors is an integer number (3877356).

Almost surely, 2121935450 is an apocalyptic number.

121935450 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 121935450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186113088).

121935450 is an abundant number, since it is smaller than the sum of its proper divisors (250290726).

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

121935450 is a wasteful number, since it uses less digits than its factorization.

121935450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8968 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 121935450 is about 11042.4385893697. The cubic root of 121935450 is about 495.8800790772.

The spelling of 121935450 in words is "one hundred twenty-one million, nine hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 8933 13650 17866 26799 44665 53598 62531 89330 116129 125062 133995 187593 223325 232258 267990 312655 348387 375186 446650 580645 625310 669975 696774 812903 937965 1161290 1339950 1563275 1625806 1741935 1875930 2438709 2903225 3126550 3483870 4064515 4689825 4877418 5806450 8129030 8709675 9379650 12193545 17419350 20322575 24387090 40645150 60967725 121935450