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4105020140 = 2251325872069
BaseRepresentation
bin1111010010101101…
…1010001011101100
3101121002022121222222
43310223122023230
531401341121030
61515200454512
7203504044514
oct36453321354
911532277888
104105020140
1118171a4431
1296691a438
13505602200
142ad290844
151905bc3e5
hexf4ada2ec

4105020140 has 72 divisors (see below), whose sum is σ = 9355091760. Its totient is φ = 1512386304.

The previous prime is 4105020001. The next prime is 4105020149. The reversal of 4105020140 is 410205014.

It is not an unprimeable number, because it can be changed into a prime (4105020149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983026 + ... + 1985094.

It is an arithmetic number, because the mean of its divisors is an integer number (129931830).

Almost surely, 24105020140 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 4105020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677545880).

4105020140 is an abundant number, since it is smaller than the sum of its proper divisors (5250071620).

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

4105020140 is a wasteful number, since it uses less digits than its factorization.

4105020140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4105020140 is about 64070.4310895440. The cubic root of 4105020140 is about 1601.1736362965.

Adding to 4105020140 its reverse (410205014), we get a palindrome (4515225154).

The spelling of 4105020140 in words is "four billion, one hundred five million, twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 587 676 845 1174 1690 2069 2348 2935 3380 4138 5870 7631 8276 10345 11740 15262 20690 26897 30524 38155 41380 53794 76310 99203 107588 134485 152620 198406 268970 349661 396812 496015 537940 699322 992030 1214503 1398644 1748305 1984060 2429006 3496610 4858012 6072515 6993220 12145030 15788539 24290060 31577078 63154156 78942695 157885390 205251007 315770780 410502014 821004028 1026255035 2052510070 4105020140