Search a number
-
+
4105520400 = 2435217201251
BaseRepresentation
bin1111010010110101…
…0100010100010000
3101121010021001020010
43310231110110100
531402003123100
61515215314520
7203511230142
oct36455242420
911533231203
104105520400
111817506273
12966b1ba40
13505748b17
142ad380c92
1519066a750
hexf4b54510

4105520400 has 120 divisors (see below), whose sum is σ = 13925028384. Its totient is φ = 1030400000.

The previous prime is 4105520389. The next prime is 4105520413. The reversal of 4105520400 is 40255014.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80226 + ... + 121025.

Almost surely, 24105520400 is an apocalyptic number.

4105520400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105520400 is an abundant number, since it is smaller than the sum of its proper divisors (9819507984).

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

4105520400 is a wasteful number, since it uses less digits than its factorization.

4105520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201289 (or 201278 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4105520400 is about 64074.3349555811. The cubic root of 4105520400 is about 1601.2386762200.

Adding to 4105520400 its reverse (40255014), we get a palindrome (4145775414).

The spelling of 4105520400 in words is "four billion, one hundred five million, five hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 201251 402502 603753 805004 1006255 1207506 1610008 2012510 2415012 3018765 3220016 3421267 4025020 4830024 5031275 6037530 6842534 8050040 9660048 10062550 10263801 12075060 13685068 15093825 16100080 17106335 20125100 20527602 24150120 27370136 30187650 34212670 40250200 41055204 48300240 51319005 54740272 60375300 68425340 80500400 82110408 85531675 102638010 120750600 136850680 164220816 171063350 205276020 241501200 256595025 273701360 342126700 410552040 513190050 684253400 821104080 1026380100 1368506800 2052760200 4105520400