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2105454540 = 223572733977
BaseRepresentation
bin111110101111110…
…1010111111001100
312102201210011122210
41331133222333030
513302444021130
6544531110420
7103114032300
oct17537527714
95381704583
102105454540
11990524182
124a9142410
1327727a7b7
1415d8a9d00
15c4c935b0
hex7d7eafcc

2105454540 has 144 divisors (see below), whose sum is σ = 6874150752. Its totient is φ = 480098304.

The previous prime is 2105454511. The next prime is 2105454551. The reversal of 2105454540 is 454545012.

It is a super-2 number, since 2×21054545402 = 8865877640013223200, which contains 22 as substring.

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 = 2105454498 and 2105454507.

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, 2154532 + ... + 2155508.

It is an arithmetic number, because the mean of its divisors is an integer number (47737158).

Almost surely, 22105454540 is an apocalyptic number.

2105454540 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 2105454540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437075376).

2105454540 is an abundant number, since it is smaller than the sum of its proper divisors (4768696212).

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

2105454540 is a wasteful number, since it uses less digits than its factorization.

2105454540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2105454540 is about 45885.2322648584. The cubic root of 2105454540 is about 1281.6869318768.

Adding to 2105454540 its reverse (454545012), we get a palindrome (2559999552).

The spelling of 2105454540 in words is "two billion, one hundred five million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 733 735 977 980 1466 1470 1954 2199 2931 2932 2940 3665 3908 4398 4885 5131 5862 6839 7330 8796 9770 10262 10995 11724 13678 14655 14660 15393 19540 20517 20524 21990 25655 27356 29310 30786 34195 35917 41034 43980 47873 51310 58620 61572 68390 71834 76965 82068 95746 102585 102620 107751 136780 143619 143668 153930 179585 191492 205170 215502 239365 287238 307860 359170 410340 431004 478730 538755 574476 716141 718095 718340 957460 1077510 1432282 1436190 2148423 2155020 2864564 2872380 3580705 4296846 5012987 7161410 8593692 10025974 10742115 14322820 15038961 20051948 21484230 25064935 30077922 35090909 42968460 50129870 60155844 70181818 75194805 100259740 105272727 140363636 150389610 175454545 210545454 300779220 350909090 421090908 526363635 701818180 1052727270 2105454540