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2054035440 = 243255948353
BaseRepresentation
bin111101001101110…
…0001011111110000
312022011000210220200
41322123201133300
513201313113230
6535453035200
7101621004342
oct17233413760
95264023820
102054035440
119644a4256
12493a85b00
132697164b2
14156b23292
15c04d8160
hex7a6e17f0

2054035440 has 120 divisors (see below), whose sum is σ = 7015198320. Its totient is φ = 538447872.

The previous prime is 2054035439. The next prime is 2054035441. The reversal of 2054035440 is 445304502.

2054035440 is a `hidden beast` number, since 205 + 403 + 54 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2054035439) and next prime (2054035441).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054035441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304 + ... + 66656.

It is an arithmetic number, because the mean of its divisors is an integer number (58459986).

Almost surely, 22054035440 is an apocalyptic number.

2054035440 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 2054035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507599160).

2054035440 is an abundant number, since it is smaller than the sum of its proper divisors (4961162880).

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

2054035440 is a wasteful number, since it uses less digits than its factorization.

2054035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48431 (or 48422 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2054035440 is about 45321.4677608746. The cubic root of 2054035440 is about 1271.1671004031.

Adding to 2054035440 its reverse (445304502), we get a palindrome (2499339942).

The spelling of 2054035440 in words is "two billion, fifty-four million, thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 48353 96706 145059 193412 241765 290118 386824 435177 483530 580236 725295 773648 870354 967060 1160472 1450590 1740708 1934120 2175885 2320944 2852827 2901180 3481416 3868240 4351770 5705654 5802360 6962832 8558481 8703540 11411308 11604720 14264135 17116962 17407080 22822616 25675443 28528270 34233924 34814160 42792405 45645232 51350886 57056540 68467848 85584810 102701772 114113080 128377215 136935696 171169620 205403544 228226160 256754430 342339240 410807088 513508860 684678480 1027017720 2054035440