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126040460 = 225713233011
BaseRepresentation
bin1111000001100…
…11100110001100
322210011112000012
413200303212030
5224231243320
620301252352
73060216620
oct740634614
9283145005
10126040460
1165168077
12362640b8
1320160470
1412a4d180
15b0ea4c5
hex783398c

126040460 has 96 divisors (see below), whose sum is σ = 340042752. Its totient is φ = 38142720.

The previous prime is 126040429. The next prime is 126040469. The reversal of 126040460 is 64040621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126040469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40355 + ... + 43365.

It is an arithmetic number, because the mean of its divisors is an integer number (3542112).

Almost surely, 2126040460 is an apocalyptic number.

126040460 is a gapful number since it is divisible by the number (10) 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 126040460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170021376).

126040460 is an abundant number, since it is smaller than the sum of its proper divisors (214002292).

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

126040460 is a wasteful number, since it uses less digits than its factorization.

126040460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 126040460 is about 11226.7742473072. The cubic root of 126040460 is about 501.3834486095.

It can be divided in two parts, 1260 and 40460, that multiplied together give a square (50979600 = 71402).

The spelling of 126040460 in words is "one hundred twenty-six million, forty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3011 3220 4186 5980 6022 8372 10465 12044 15055 20930 21077 30110 39143 41860 42154 60220 69253 78286 84308 105385 138506 156572 195715 210770 274001 277012 346265 391430 421540 484771 548002 692530 782860 900289 969542 1096004 1370005 1385060 1800578 1939084 2423855 2740010 3601156 4501445 4847710 5480020 6302023 9002890 9695420 12604046 18005780 25208092 31510115 63020230 126040460