Search a number
-
+
2054317896 = 233379131919
BaseRepresentation
bin111101001110010…
…0110011101001000
312022011120011101000
41322130212131020
513201401133041
6535503055000
7101623262001
oct17234463510
95264504330
102054317896
11964677494
12493ba1460
132697b4c27
14156b981a8
15c0541bb6
hex7a726748

2054317896 has 128 divisors (see below), whose sum is σ = 5829120000. Its totient is φ = 670213440.

The previous prime is 2054317883. The next prime is 2054317897. The reversal of 2054317896 is 6987134502.

2054317896 is a `hidden beast` number, since 2 + 0 + 543 + 17 + 8 + 96 = 666.

2054317896 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

2054317896 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2054317897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234925 + ... + 2235843.

It is an arithmetic number, because the mean of its divisors is an integer number (45540000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2054317896 = 4108635792, but 3⋅2054317896 = 6162953688 is not.

Almost surely, 22054317896 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 2054317896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914560000).

2054317896 is an abundant number, since it is smaller than the sum of its proper divisors (3774802104).

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

2054317896 is a wasteful number, since it uses less digits than its factorization.

2054317896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2054317896 is about 45324.5837929043. The cubic root of 2054317896 is about 1271.2253649476.

The spelling of 2054317896 in words is "two billion, fifty-four million, three hundred seventeen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 131 158 216 237 262 316 393 474 524 632 711 786 919 948 1048 1179 1422 1572 1838 1896 2133 2358 2757 2844 3144 3537 3676 4266 4716 5514 5688 7074 7352 8271 8532 9432 10349 11028 14148 16542 17064 20698 22056 24813 28296 31047 33084 41396 49626 62094 66168 72601 82792 93141 99252 120389 124188 145202 186282 198504 217803 240778 248376 279423 290404 361167 372564 435606 481556 558846 580808 653409 722334 745128 871212 963112 1083501 1117692 1306818 1444668 1742424 1960227 2167002 2235384 2613636 2889336 3250503 3920454 4334004 5227272 6501006 7840908 8668008 9510731 13002012 15681816 19021462 26004024 28532193 38042924 57064386 76085848 85596579 114128772 171193158 228257544 256789737 342386316 513579474 684772632 1027158948 2054317896