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4260303440 = 2454161107199
BaseRepresentation
bin1111110111101111…
…0001001001010000
3101222220111211122022
43331323301021100
532211114202230
61542425031012
7210400660511
oct37573611120
911886454568
104260303440
111896915038
129aa925468
1352b830b13
142c5b52a08
1519e0421e5
hexfdef1250

4260303440 has 160 divisors (see below), whose sum is σ = 10461830400. Its totient is φ = 1611878400.

The previous prime is 4260303419. The next prime is 4260303449. The reversal of 4260303440 is 443030624.

It is a Cunningham number, because it is equal to 652712-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260303449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21408461 + ... + 21408659.

It is an arithmetic number, because the mean of its divisors is an integer number (65386440).

Almost surely, 24260303440 is an apocalyptic number.

4260303440 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 4260303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230915200).

4260303440 is an abundant number, since it is smaller than the sum of its proper divisors (6201526960).

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

4260303440 is a wasteful number, since it uses less digits than its factorization.

4260303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4260303440 is about 65270.9999923396. Note that the first 5 decimals coincide. The cubic root of 4260303440 is about 1621.1138303630.

The spelling of 4260303440 in words is "four billion, two hundred sixty million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 61 80 82 107 122 164 199 205 214 244 305 328 398 410 428 488 535 610 656 796 820 856 976 995 1070 1220 1592 1640 1712 1990 2140 2440 2501 3184 3280 3980 4280 4387 4880 5002 6527 7960 8159 8560 8774 10004 12139 12505 13054 15920 16318 17548 20008 21293 21935 24278 25010 26108 32635 32636 35096 40016 40795 42586 43870 48556 50020 52216 60695 65270 65272 70192 81590 85172 87740 97112 100040 104432 106465 121390 130540 130544 163180 170344 175480 194224 200080 212930 242780 261080 267607 326360 340688 350960 425860 485560 497699 522160 535214 652720 851720 873013 971120 995398 1070428 1298873 1338035 1703440 1746026 1990796 2140856 2488495 2597746 2676070 3492052 3981592 4281712 4365065 4976990 5195492 5352140 6494365 6984104 7963184 8730130 9953980 10390984 10704280 12988730 13968208 17460260 19907960 20781968 21408560 25977460 34920520 39815920 51954920 53253793 69841040 103909840 106507586 213015172 266268965 426030344 532537930 852060688 1065075860 2130151720 4260303440