Search a number
-
+
126743940 = 223658693
BaseRepresentation
bin1111000110111…
…11010110000100
322211111021000000
413203133112010
5224421301230
620324321300
73066206601
oct743372604
9284437000
10126743940
11655a8664
1236543230
132034871b
1412b936a8
15b1d8b60
hex78df584

126743940 has 84 divisors (see below), whose sum is σ = 399106764. Its totient is φ = 33794496.

The previous prime is 126743933. The next prime is 126743951. The reversal of 126743940 is 49347621.

126743940 is a `hidden beast` number, since 1 + 267 + 4 + 394 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 104162436 = 4752^2 + 10206^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126743895 and 126743904.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10234 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (4751271).

Almost surely, 2126743940 is an apocalyptic number.

126743940 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 126743940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199553382).

126743940 is an abundant number, since it is smaller than the sum of its proper divisors (272362824).

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

126743940 is an equidigital number, since it uses as much as digits as its factorization.

126743940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 126743940 is about 11258.0611119322. The cubic root of 126743940 is about 502.3145227701.

The spelling of 126743940 in words is "one hundred twenty-six million, seven hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 8693 14580 17386 26079 34772 43465 52158 78237 86930 104316 130395 156474 173860 234711 260790 312948 391185 469422 521580 704133 782370 938844 1173555 1408266 1564740 2112399 2347110 2816532 3520665 4224798 4694220 6337197 7041330 8449596 10561995 12674394 14082660 21123990 25348788 31685985 42247980 63371970 126743940