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4530040020 = 223551184737
BaseRepresentation
bin1000011100000001…
…01110110011010100
3102200201001212200000
410032000232303110
533234142240040
62025302251300
7220154463522
oct41600566324
912621055600
104530040020
111a150a9130
12a65126b30
13572693a6c
1430d8c9312
151b7a74130
hex10e02ecd4

4530040020 has 144 divisors (see below), whose sum is σ = 15545694528. Its totient is φ = 1098178560.

The previous prime is 4530040007. The next prime is 4530040027. The reversal of 4530040020 is 200400354.

It is a happy number.

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 = 4530039975 and 4530040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530040027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11092 + ... + 95828.

It is an arithmetic number, because the mean of its divisors is an integer number (107956212).

Almost surely, 24530040020 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 4530040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772847264).

4530040020 is an abundant number, since it is smaller than the sum of its proper divisors (11015654508).

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

4530040020 is a wasteful number, since it uses less digits than its factorization.

4530040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84772 (or 84758 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4530040020 is about 67305.5719833061. The cubic root of 4530040020 is about 1654.6291822010.

Adding to 4530040020 its reverse (200400354), we get a palindrome (4730440374).

The spelling of 4530040020 in words is "four billion, five hundred thirty million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 84737 169474 254211 338948 423685 508422 762633 847370 932107 1016844 1271055 1525266 1694740 1864214 2287899 2542110 2796321 3050532 3728428 3813165 4575798 4660535 5084220 5592642 6863697 7626330 8388963 9151596 9321070 11185284 11439495 13727394 13981605 15252660 16777926 18642140 20591091 22878990 25166889 27454788 27963210 33555852 34318485 41182182 41944815 45757980 50333778 55926420 68636970 75500667 82364364 83889630 100667556 102955455 125834445 137273940 151001334 167779260 205910910 226502001 251668890 302002668 377503335 411821820 453004002 503337780 755006670 906008004 1132510005 1510013340 2265020010 4530040020