Search a number
-
+
201454260 = 22357677159
BaseRepresentation
bin11000000000111…
…11001010110100
3112001001221021220
430000133022310
5403033014020
631553510340
74664222130
oct1400371264
9461057256
10201454260
11a3796627
12575723b0
1332976207
141ca803c0
1512a45240
hexc01f2b4

201454260 has 96 divisors (see below), whose sum is σ = 654366720. Its totient is φ = 45353088.

The previous prime is 201454249. The next prime is 201454273. The reversal of 201454260 is 62454102.

201454260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201454260.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24561 + ... + 31719.

It is an arithmetic number, because the mean of its divisors is an integer number (6816320).

Almost surely, 2201454260 is an apocalyptic number.

201454260 is a gapful number since it is divisible by the number (20) 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 201454260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327183360).

201454260 is an abundant number, since it is smaller than the sum of its proper divisors (452912460).

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

201454260 is a wasteful number, since it uses less digits than its factorization.

201454260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 201454260 is about 14193.4583523537. The cubic root of 201454260 is about 586.2175532860.

The spelling of 201454260 in words is "two hundred one million, four hundred fifty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 4020 4690 5628 7035 7159 9380 14070 14318 21477 28140 28636 35795 42954 50113 71590 85908 100226 107385 143180 150339 200452 214770 250565 300678 429540 479653 501130 601356 751695 959306 1002260 1438959 1503390 1918612 2398265 2877918 3006780 3357571 4796530 5755836 6715142 7194795 9593060 10072713 13430284 14389590 16787855 20145426 28779180 33575710 40290852 50363565 67151420 100727130 201454260