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4130422240 = 25576160457
BaseRepresentation
bin1111011000110001…
…0011110111100000
3101122212010012010111
43312030103313200
531424342002430
61521505141104
7204233003230
oct36614236740
911585105114
104130422240
11182a5743aa
1297332a794
1350a957439
142b27c3cc0
15192938c2a
hexf6313de0

4130422240 has 96 divisors (see below), whose sum is σ = 11335149504. Its totient is φ = 1392906240.

The previous prime is 4130422223. The next prime is 4130422243. The reversal of 4130422240 is 422240314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130422243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38092 + ... + 98548.

It is an arithmetic number, because the mean of its divisors is an integer number (118074474).

Almost surely, 24130422240 is an apocalyptic number.

4130422240 is a gapful number since it is divisible by the number (40) 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 4130422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667574752).

4130422240 is an abundant number, since it is smaller than the sum of its proper divisors (7204727264).

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

4130422240 is a wasteful number, since it uses less digits than its factorization.

4130422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60540 (or 60532 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4130422240 is about 64268.3611118255. The cubic root of 4130422240 is about 1604.4695652405.

Adding to 4130422240 its reverse (422240314), we get a palindrome (4552662554).

The spelling of 4130422240 in words is "four billion, one hundred thirty million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 17080 34160 60457 68320 120914 241828 302285 423199 483656 604570 846398 967312 1209140 1692796 1934624 2115995 2418280 3385592 3687877 4231990 4836560 6771184 7375754 8463980 9673120 13542368 14751508 16927960 18439385 25815139 29503016 33855920 36878770 51630278 59006032 67711840 73757540 103260556 118012064 129075695 147515080 206521112 258151390 295030160 413042224 516302780 590060320 826084448 1032605560 2065211120 4130422240