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4260987640 = 2357137331597
BaseRepresentation
bin1111110111111001…
…1000001011111000
3101222221210121012001
43331332120023320
532211303101030
61542451430344
7210406540330
oct37576301370
911887717161
104260987640
111897242098
129aabb53b4
1352ba10380
142c5c900c0
1519e129cca
hexfdf982f8

4260987640 has 128 divisors (see below), whose sum is σ = 11823154560. Its totient is φ = 1345849344.

The previous prime is 4260987637. The next prime is 4260987649. The reversal of 4260987640 is 467890624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260987649) 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, 2667322 + ... + 2668918.

It is an arithmetic number, because the mean of its divisors is an integer number (92368395).

Almost surely, 24260987640 is an apocalyptic number.

4260987640 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 4260987640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911577280).

4260987640 is an abundant number, since it is smaller than the sum of its proper divisors (7562166920).

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

4260987640 is a wasteful number, since it uses less digits than its factorization.

4260987640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 4260987640 is about 65276.2410069698. The cubic root of 4260987640 is about 1621.2006087445.

The spelling of 4260987640 in words is "four billion, two hundred sixty million, nine hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 733 910 1466 1597 1820 2932 3194 3640 3665 5131 5864 6388 7330 7985 9529 10262 11179 12776 14660 15970 19058 20524 20761 22358 25655 29320 31940 38116 41048 41522 44716 47645 51310 55895 63880 66703 76232 83044 89432 95290 102620 103805 111790 133406 145327 166088 190580 205240 207610 223580 266812 290654 333515 381160 415220 447160 533624 581308 667030 726635 830440 1162616 1170601 1334060 1453270 2341202 2668120 2906540 4682404 5813080 5853005 8194207 9364808 11706010 15217813 16388414 23412020 30435626 32776828 40971035 46824040 60871252 65553656 76089065 81942070 106524691 121742504 152178130 163884140 213049382 304356260 327768280 426098764 532623455 608712520 852197528 1065246910 2130493820 4260987640