Search a number
-
+
126363700 = 225210911593
BaseRepresentation
bin1111000100000…
…10100000110100
322210202221102001
413202002200310
5224322114300
620312225044
73063034201
oct742024064
9283687361
10126363700
1165368a11
123639b184
1320244628
1412ad4ca8
15b16116a
hex7882834

126363700 has 36 divisors (see below), whose sum is σ = 276748780. Its totient is φ = 50077440.

The previous prime is 126363673. The next prime is 126363707. The reversal of 126363700 is 7363621.

It can be written as a sum of positive squares in 6 ways, for example, as 7160976 + 119202724 = 2676^2 + 10918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126363707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5104 + ... + 16696.

Almost surely, 2126363700 is an apocalyptic number.

126363700 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 126363700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138374390).

126363700 is an abundant number, since it is smaller than the sum of its proper divisors (150385080).

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

126363700 is a wasteful number, since it uses less digits than its factorization.

126363700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 126363700 is about 11241.1609720705. The cubic root of 126363700 is about 501.8116942659.

The spelling of 126363700 in words is "one hundred twenty-six million, three hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 11593 23186 46372 57965 115930 231860 289825 579650 1159300 1263637 2527274 5054548 6318185 12636370 25272740 31590925 63181850 126363700