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4115230240 = 255115933943
BaseRepresentation
bin1111010101001001…
…0110111000100000
3101121210112100121211
43311102112320200
531411444331430
61520203355504
7203656610542
oct36522267040
911553470554
104115230240
111821a38430
1296a222b94
135077685a4
142b078b692
1519143772a
hexf5496e20

4115230240 has 96 divisors (see below), whose sum is σ = 10626650496. Its totient is φ = 1493544960.

The previous prime is 4115230213. The next prime is 4115230267. The reversal of 4115230240 is 420325114.

It is an interprime number because it is at equal distance from previous prime (4115230213) and next prime (4115230267).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041709 + ... + 1045651.

It is an arithmetic number, because the mean of its divisors is an integer number (110694276).

Almost surely, 24115230240 is an apocalyptic number.

4115230240 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 4115230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313325248).

4115230240 is an abundant number, since it is smaller than the sum of its proper divisors (6511420256).

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

4115230240 is a wasteful number, since it uses less digits than its factorization.

4115230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4115230240 is about 64150.0603273294. The cubic root of 4115230240 is about 1602.5000291244.

Adding to 4115230240 its reverse (420325114), we get a palindrome (4535555354).

The spelling of 4115230240 in words is "four billion, one hundred fifteen million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 593 880 1186 1760 2372 2965 3943 4744 5930 6523 7886 9488 11860 13046 15772 18976 19715 23720 26092 31544 32615 39430 43373 47440 52184 63088 65230 78860 86746 94880 104368 126176 130460 157720 173492 208736 216865 260920 315440 346984 433730 521840 630880 693968 867460 1043680 1387936 1734920 2338199 3469840 4676398 6939680 9352796 11690995 18705592 23381990 25720189 37411184 46763980 51440378 74822368 93527960 102880756 128600945 187055920 205761512 257201890 374111840 411523024 514403780 823046048 1028807560 2057615120 4115230240