Search a number
-
+
121450240 = 285239397
BaseRepresentation
bin1110011110100…
…10111100000000
322110112022102001
413033102330000
5222042401430
620015033344
73003211222
oct717227400
9273468361
10121450240
11626123aa
123480b854
131c214062
14121b6412
15a9e03ca
hex73d2f00

121450240 has 72 divisors (see below), whose sum is σ = 292864320. Its totient is φ = 48254976.

The previous prime is 121450237. The next prime is 121450267. The reversal of 121450240 is 42054121.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 305722 + ... + 306118.

It is an arithmetic number, because the mean of its divisors is an integer number (4067560).

Almost surely, 2121450240 is an apocalyptic number.

121450240 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 121450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146432160).

121450240 is an abundant number, since it is smaller than the sum of its proper divisors (171414080).

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

121450240 is an equidigital number, since it uses as much as digits as its factorization.

121450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 121450240 is about 11020.4464519365. The cubic root of 121450240 is about 495.2214633280.

The spelling of 121450240 in words is "one hundred twenty-one million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 397 478 640 794 956 1195 1280 1588 1912 1985 2390 3176 3824 3970 4780 6352 7648 7940 9560 12704 15296 15880 19120 25408 30592 31760 38240 50816 61184 63520 76480 94883 101632 127040 152960 189766 254080 305920 379532 474415 508160 759064 948830 1518128 1897660 3036256 3795320 6072512 7590640 12145024 15181280 24290048 30362560 60725120 121450240