Search a number
-
+
121360456 = 2372734241
BaseRepresentation
bin1110011101111…
…01000001001000
322110100202020201
413032331001020
5222032013311
620013101544
73002355400
oct716750110
9273322221
10121360456
11625609a8
12347878b4
131c1b2229
1412191800
15a9c39c1
hex73bd048

121360456 has 48 divisors (see below), whose sum is σ = 268391340. Its totient is φ = 51287040.

The previous prime is 121360453. The next prime is 121360487. The reversal of 121360456 is 654063121.

It can be written as a sum of positive squares in 2 ways, for example, as 105884100 + 15476356 = 10290^2 + 3934^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (121360453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26496 + ... + 30736.

Almost surely, 2121360456 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 121360456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134195670).

121360456 is an abundant number, since it is smaller than the sum of its proper divisors (147030884).

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

121360456 is a wasteful number, since it uses less digits than its factorization.

121360456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 121360456 is about 11016.3721796243. The cubic root of 121360456 is about 495.0993998255.

The spelling of 121360456 in words is "one hundred twenty-one million, three hundred sixty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 4088 4241 7154 8482 14308 16964 28616 29687 33928 59374 118748 207809 237496 309593 415618 619186 831236 1238372 1662472 2167151 2476744 4334302 8668604 15170057 17337208 30340114 60680228 121360456