Search a number
-
+
2054318784 = 26372366457
BaseRepresentation
bin111101001110010…
…0110101011000000
312022011120012120220
41322130212223000
513201401200114
6535503103040
7101623264410
oct17234465300
95264505526
102054318784
11964678121
12493ba1a80
132697b545b
14156b98640
15c05420a9
hex7a726ac0

2054318784 has 112 divisors (see below), whose sum is σ = 6482047488. Its totient is φ = 561420288.

The previous prime is 2054318759. The next prime is 2054318789. The reversal of 2054318784 is 4878134502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2054318789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 64140.

It is an arithmetic number, because the mean of its divisors is an integer number (57875424).

Almost surely, 22054318784 is an apocalyptic number.

2054318784 is a gapful number since it is divisible by the number (24) 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 2054318784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241023744).

2054318784 is an abundant number, since it is smaller than the sum of its proper divisors (4427728704).

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

2054318784 is a wasteful number, since it uses less digits than its factorization.

2054318784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66502 (or 66492 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2054318784 is about 45324.5935889115. The cubic root of 2054318784 is about 1271.2255481143.

The spelling of 2054318784 in words is "two billion, fifty-four million, three hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 66457 132914 199371 265828 398742 465199 531656 797484 930398 1063312 1395597 1528511 1594968 1860796 2126624 2791194 3057022 3189936 3721592 4253248 4585533 5582388 6114044 6379872 7443184 9171066 10699577 11164776 12228088 12759744 14886368 18342132 21399154 22329552 24456176 29772736 32098731 36684264 42798308 44659104 48912352 64197462 73368528 85596616 89318208 97824704 128394924 146737056 171193232 256789848 293474112 342386464 513579696 684772928 1027159392 2054318784