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2180535240 = 2335132360773
BaseRepresentation
bin1000000111111000…
…0101001111001000
312121222001200000110
42001332011033020
513431204111430
61000212234320
7105015146412
oct20176051710
95558050013
102180535240
11a19945444
1250a30b9a0
132899a7a50
141698519b2
15cb6747b0
hex81f853c8

2180535240 has 128 divisors (see below), whose sum is σ = 7351223040. Its totient is φ = 513401856.

The previous prime is 2180535193. The next prime is 2180535241. The reversal of 2180535240 is 425350812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2180535198 and 2180535207.

It is not an unprimeable number, because it can be changed into a prime (2180535241) 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, 5494 + ... + 66266.

It is an arithmetic number, because the mean of its divisors is an integer number (57431430).

Almost surely, 22180535240 is an apocalyptic number.

2180535240 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 2180535240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675611520).

2180535240 is an abundant number, since it is smaller than the sum of its proper divisors (5170687800).

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

2180535240 is a wasteful number, since it uses less digits than its factorization.

2180535240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60823 (or 60819 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2180535240 is about 46696.2015585850. The cubic root of 2180535240 is about 1296.7443664344.

The spelling of 2180535240 in words is "two billion, one hundred eighty million, five hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 60773 121546 182319 243092 303865 364638 486184 607730 729276 790049 911595 1215460 1397779 1458552 1580098 1823190 2370147 2430920 2795558 3160196 3646380 3950245 4193337 4740294 5591116 6320392 6988895 7292760 7900490 8386674 9480588 11182232 11850735 13977790 15800980 16773348 18171127 18961176 20966685 23701470 27955580 31601960 33546696 36342254 41933370 47402940 54513381 55911160 72684508 83866740 90855635 94805880 109026762 145369016 167733480 181711270 218053524 272566905 363422540 436107048 545133810 726845080 1090267620 2180535240