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2040054120 = 2333513145303
BaseRepresentation
bin111100110011000…
…1100000101101000
312021011201111011000
41321212030011220
513134223212440
6534233235000
7101361113436
oct17146140550
95234644130
102040054120
11957614945
1248b262a60
1326685c720
14154d23d56
15be175730
hex7998c168

2040054120 has 128 divisors (see below), whose sum is σ = 7323321600. Its totient is φ = 502163712.

The previous prime is 2040054109. The next prime is 2040054127. The reversal of 2040054120 is 214500402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040054093 and 2040054102.

It is not an unprimeable number, because it can be changed into a prime (2040054127) 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, 58612 + ... + 86691.

It is an arithmetic number, because the mean of its divisors is an integer number (57213450).

Almost surely, 22040054120 is an apocalyptic number.

2040054120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040054120 is an abundant number, since it is smaller than the sum of its proper divisors (5283267480).

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

2040054120 is a wasteful number, since it uses less digits than its factorization.

2040054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145336 (or 145326 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2040054120 is about 45166.9582770414. The cubic root of 2040054120 is about 1268.2763564205.

Adding to 2040054120 its reverse (214500402), we get a palindrome (2254554522).

The spelling of 2040054120 in words is "two billion, forty million, fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 145303 290606 435909 581212 726515 871818 1162424 1307727 1453030 1743636 1888939 2179545 2615454 2906060 3487272 3777878 3923181 4359090 5230908 5666817 5812120 6538635 7555756 7846362 8718180 9444695 10461816 11333634 13077270 15111512 15692724 17000451 17436360 18889390 19615905 22667268 26154540 28334085 31385448 34000902 37778780 39231810 45334536 51001353 52309080 56668170 68001804 75557560 78463620 85002255 102002706 113336340 136003608 156927240 170004510 204005412 226672680 255006765 340009020 408010824 510013530 680018040 1020027060 2040054120