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126006660 = 223251353849
BaseRepresentation
bin1111000001010…
…11010110000100
322210002210122100
413200223112010
5224224203120
620300432100
73060016233
oct740532604
9283083570
10126006660
116514473a
1236248630
132014ac70
1412a40b1a
15b0e0490
hex782b584

126006660 has 72 divisors (see below), whose sum is σ = 411629400. Its totient is φ = 31016448.

The previous prime is 126006649. The next prime is 126006667. The reversal of 126006660 is 66600621.

It can be written as a sum of positive squares in 4 ways, for example, as 28708164 + 97298496 = 5358^2 + 9864^2 .

It is not an unprimeable number, because it can be changed into a prime (126006667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24585 + ... + 29264.

It is an arithmetic number, because the mean of its divisors is an integer number (5717075).

Almost surely, 2126006660 is an apocalyptic number.

126006660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126006660 is an abundant number, since it is smaller than the sum of its proper divisors (285622740).

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

126006660 is a wasteful number, since it uses less digits than its factorization.

126006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53877 (or 53872 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126006660 is about 11225.2688163803. The cubic root of 126006660 is about 501.3386262943.

The spelling of 126006660 in words is "one hundred twenty-six million, six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 53849 107698 161547 215396 269245 323094 484641 538490 646188 700037 807735 969282 1076980 1400074 1615470 1938564 2100111 2423205 2800148 3230940 3500185 4200222 4846410 6300333 7000370 8400444 9692820 10500555 12600666 14000740 21001110 25201332 31501665 42002220 63003330 126006660