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126091140 = 22357331907
BaseRepresentation
bin1111000001111…
…11111110000100
322210021002112020
413200333332010
5224234404030
620302323140
73060520440
oct740777604
9283232466
10126091140
11651a215a
12362894b0
132017a556
1412a63820
15b10a510
hex783ff84

126091140 has 96 divisors (see below), whose sum is σ = 405156864. Its totient is φ = 28702080.

The previous prime is 126091123. The next prime is 126091171. The reversal of 126091140 is 41190621.

It is a self number, because there is not a number n which added to its sum of digits gives 126091140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138567 + ... + 139473.

It is an arithmetic number, because the mean of its divisors is an integer number (4220384).

Almost surely, 2126091140 is an apocalyptic number.

126091140 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 126091140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202578432).

126091140 is an abundant number, since it is smaller than the sum of its proper divisors (279065724).

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

126091140 is a wasteful number, since it uses less digits than its factorization.

126091140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 126091140 is about 11229.0311247231. The cubic root of 126091140 is about 501.4506405471.

The spelling of 126091140 in words is "one hundred twenty-six million, ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 662 907 993 1324 1655 1814 1986 2317 2721 3310 3628 3972 4535 4634 4965 5442 6349 6620 6951 9070 9268 9930 10884 11585 12698 13605 13902 18140 19047 19860 23170 25396 27210 27804 31745 34755 38094 46340 54420 63490 69510 76188 95235 126980 139020 190470 300217 380940 600434 900651 1200868 1501085 1801302 2101519 3002170 3602604 4203038 4503255 6004340 6304557 8406076 9006510 10507595 12609114 18013020 21015190 25218228 31522785 42030380 63045570 126091140