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2642054160 = 2435234311131
BaseRepresentation
bin1001110101111010…
…1000110000010000
320211010111020221210
42131132220300100
520402331213120
61114100220120
7122321042544
oct23536506020
96733436853
102642054160
111136409439
1261899a640
133314a8775
141b0c6ba24
15106e3ace0
hex9d7a8c10

2642054160 has 160 divisors (see below), whose sum is σ = 8746011648. Its totient is φ = 658183680.

The previous prime is 2642054159. The next prime is 2642054171. The reversal of 2642054160 is 614502462.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231795 + ... + 242925.

Almost surely, 22642054160 is an apocalyptic number.

2642054160 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 2642054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373005824).

2642054160 is an abundant number, since it is smaller than the sum of its proper divisors (6103957488).

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

2642054160 is a wasteful number, since it uses less digits than its factorization.

2642054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11213 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2642054160 is about 51400.9159451463. The cubic root of 2642054160 is about 1382.4430155698.

The spelling of 2642054160 in words is "two billion, six hundred forty-two million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 43 46 48 60 69 80 86 92 115 120 129 138 172 184 215 230 240 258 276 344 345 368 430 460 516 552 645 688 690 860 920 989 1032 1104 1290 1380 1720 1840 1978 2064 2580 2760 2967 3440 3956 4945 5160 5520 5934 7912 9890 10320 11131 11868 14835 15824 19780 22262 23736 29670 33393 39560 44524 47472 55655 59340 66786 79120 89048 111310 118680 133572 166965 178096 222620 237360 256013 267144 333930 445240 478633 512026 534288 667860 768039 890480 957266 1024052 1280065 1335720 1435899 1536078 1914532 2048104 2393165 2560130 2671440 2871798 3072156 3829064 3840195 4096208 4786330 5120260 5743596 6144312 7179495 7658128 7680390 9572660 10240520 11008559 11487192 12288624 14358990 15360780 19145320 20481040 22017118 22974384 28717980 30721560 33025677 38290640 44034236 55042795 57435960 61443120 66051354 88068472 110085590 114871920 132102708 165128385 176136944 220171180 264205416 330256770 440342360 528410832 660513540 880684720 1321027080 2642054160