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6400132260 = 2235234679931
BaseRepresentation
bin1011111010111101…
…00100010010100100
3121112000222101221120
411331132210102210
5101101413213020
62535025013540
7314413140504
oct57536442244
917460871846
106400132260
112794787105
1212a74842b0
137acc55612
1444a009a04
15276d25740
hex17d7a44a4

6400132260 has 96 divisors (see below), whose sum is σ = 18741445632. Its totient is φ = 1628837760.

The previous prime is 6400132247. The next prime is 6400132279. The reversal of 6400132260 is 622310046.

6400132260 = 58062 + 58072 + ... + 59892.

It is a super-5 number, since 5×64001322605 (a number of 50 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6400132260.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 639495 + ... + 649425.

It is an arithmetic number, because the mean of its divisors is an integer number (195223392).

Almost surely, 26400132260 is an apocalyptic number.

6400132260 is a gapful number since it is divisible by the number (60) 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 6400132260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370722816).

6400132260 is an abundant number, since it is smaller than the sum of its proper divisors (12341313372).

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

6400132260 is a wasteful number, since it uses less digits than its factorization.

6400132260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6400132260 is about 80000.8266207294. The cubic root of 6400132260 is about 1856.6483228682.

The spelling of 6400132260 in words is "six billion, four hundred million, one hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 467 690 934 1380 1401 1868 2335 2802 4670 5604 7005 9340 9931 10741 14010 19862 21482 28020 29793 32223 39724 42964 49655 53705 59586 64446 99310 107410 119172 128892 148965 161115 198620 214820 228413 297930 322230 456826 595860 644460 685239 913652 1142065 1370478 2284130 2740956 3426195 4568260 4637777 6852390 9275554 13704780 13913331 18551108 23188885 27826662 46377770 55653324 69566655 92755540 106668871 139133310 213337742 278266620 320006613 426675484 533344355 640013226 1066688710 1280026452 1600033065 2133377420 3200066130 6400132260