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2150541540 = 2232572118089
BaseRepresentation
bin1000000000101110…
…1010100011100100
312112212121211101200
42000023222203210
513401014312130
6553221322500
7104202205260
oct20013524344
95485554350
102150541540
11a03a19764
12500266430
132837058b4
141658850a0
15c8bec760
hex802ea8e4

2150541540 has 144 divisors (see below), whose sum is σ = 7491469440. Its totient is φ = 489162240.

The previous prime is 2150541509. The next prime is 2150541557. The reversal of 2150541540 is 451450512.

2150541540 is a `hidden beast` number, since 2 + 1 + 505 + 4 + 154 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261816 + ... + 269904.

Almost surely, 22150541540 is an apocalyptic number.

2150541540 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 2150541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745734720).

2150541540 is an abundant number, since it is smaller than the sum of its proper divisors (5340927900).

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

2150541540 is a wasteful number, since it uses less digits than its factorization.

2150541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2150541540 is about 46373.9316858081. The cubic root of 2150541540 is about 1290.7712352324.

The spelling of 2150541540 in words is "two billion, one hundred fifty million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 211 252 315 420 422 630 633 844 1055 1260 1266 1477 1899 2110 2532 2954 3165 3798 4220 4431 5908 6330 7385 7596 8089 8862 9495 12660 13293 14770 16178 17724 18990 22155 24267 26586 29540 32356 37980 40445 44310 48534 53172 56623 66465 72801 80890 88620 97068 113246 121335 132930 145602 161780 169869 226492 242670 265860 283115 291204 339738 364005 485340 509607 566230 679476 728010 849345 1019214 1132460 1456020 1698690 1706779 2038428 2548035 3397380 3413558 5096070 5120337 6827116 8533895 10192140 10240674 11947453 15361011 17067790 20481348 23894906 25601685 30722022 34135580 35842359 47789812 51203370 59737265 61444044 71684718 76805055 102406740 107527077 119474530 143369436 153610110 179211795 215054154 238949060 307220220 358423590 430108308 537635385 716847180 1075270770 2150541540