Search a number
-
+
121926240 = 25325227373
BaseRepresentation
bin1110100010001…
…11001001100000
322111102111100200
413101013021200
5222203114430
620033145200
73010233042
oct721071140
9274374320
10121926240
1162907a97
12349bb200
131c34c907
141229ba92
15aa86460
hex7447260

121926240 has 144 divisors (see below), whose sum is σ = 419026608. Its totient is φ = 32283648.

The previous prime is 121926239. The next prime is 121926257. The reversal of 121926240 is 42629121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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, 326694 + ... + 327066.

It is an arithmetic number, because the mean of its divisors is an integer number (2909907).

Almost surely, 2121926240 is an apocalyptic number.

121926240 is a gapful number since it is divisible by the number (10) 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 121926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209513304).

121926240 is an abundant number, since it is smaller than the sum of its proper divisors (297100368).

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

121926240 is a wasteful number, since it uses less digits than its factorization.

121926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121926240 is about 11042.0215540453. The cubic root of 121926240 is about 495.8675938633.

The spelling of 121926240 in words is "one hundred twenty-one million, nine hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 227 240 288 360 373 454 480 681 720 746 908 1119 1135 1362 1440 1492 1816 1865 2043 2238 2270 2724 2984 3357 3405 3632 3730 4086 4476 4540 5448 5595 5968 6714 6810 7264 7460 8172 8952 9080 10215 10896 11190 11936 13428 13620 14920 16344 16785 17904 18160 20430 21792 22380 26856 27240 29840 32688 33570 35808 36320 40860 44760 53712 54480 59680 65376 67140 81720 84671 89520 107424 108960 134280 163440 169342 179040 254013 268560 326880 338684 423355 508026 537120 677368 762039 846710 1016052 1270065 1354736 1524078 1693420 2032104 2540130 2709472 3048156 3386840 3810195 4064208 5080260 6096312 6773680 7620390 8128416 10160520 12192624 13547360 15240780 20321040 24385248 30481560 40642080 60963120 121926240