Search a number
-
+
126387720 = 23325351077
BaseRepresentation
bin1111000100010…
…00011000001000
322210211011100200
413202020120020
5224323401340
620312532200
73063164214
oct742103010
9283734320
10126387720
1165384a68
12363b1060
1320252544
1412add944
15b168330
hex7888608

126387720 has 48 divisors (see below), whose sum is σ = 410761260. Its totient is φ = 33703296.

The previous prime is 126387689. The next prime is 126387757. The reversal of 126387720 is 27783621.

126387720 is a `hidden beast` number, since 12 + 638 + 7 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115218756 + 11168964 = 10734^2 + 3342^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175179 + ... + 175898.

Almost surely, 2126387720 is an apocalyptic number.

126387720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126387720 is an abundant number, since it is smaller than the sum of its proper divisors (284373540).

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

126387720 is a wasteful number, since it uses less digits than its factorization.

126387720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351094 (or 351087 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 126387720 is about 11242.2293162878. The cubic root of 126387720 is about 501.8434880834.

The spelling of 126387720 in words is "one hundred twenty-six million, three hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 351077 702154 1053231 1404308 1755385 2106462 2808616 3159693 3510770 4212924 5266155 6319386 7021540 8425848 10532310 12638772 14043080 15798465 21064620 25277544 31596930 42129240 63193860 126387720