Search a number
-
+
126265464 = 233213277487
BaseRepresentation
bin1111000011010…
…10100001111000
322210120221122200
413201222201320
5224310443324
620310150200
73062144613
oct741524170
9283527580
10126265464
1165301126
1236352360
132020b9c0
1412aab17a
15b141ec9
hex786a878

126265464 has 96 divisors (see below), whose sum is σ = 370362720. Its totient is φ = 38631168.

The previous prime is 126265459. The next prime is 126265471. The reversal of 126265464 is 464562621.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 259029 + ... + 259515.

It is an arithmetic number, because the mean of its divisors is an integer number (3857945).

Almost surely, 2126265464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185181360).

126265464 is an abundant number, since it is smaller than the sum of its proper divisors (244097256).

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

126265464 is a wasteful number, since it uses less digits than its factorization.

126265464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 126265464 is about 11236.7906450196. The cubic root of 126265464 is about 501.6816232791.

The spelling of 126265464 in words is "one hundred twenty-six million, two hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 277 312 468 487 554 831 936 974 1108 1461 1662 1948 2216 2493 2922 3324 3601 3896 4383 4986 5844 6331 6648 7202 8766 9972 10803 11688 12662 14404 17532 18993 19944 21606 25324 28808 32409 35064 37986 43212 50648 56979 64818 75972 86424 113958 129636 134899 151944 227916 259272 269798 404697 455832 539596 809394 1079192 1214091 1618788 1753687 2428182 3237576 3507374 4856364 5261061 7014748 9712728 10522122 14029496 15783183 21044244 31566366 42088488 63132732 126265464