Search a number
-
+
126745400 = 23523731699
BaseRepresentation
bin1111000110111…
…11101100111000
322211111100000002
413203133230320
5224421323100
620324332132
73066214055
oct743375470
9284440002
10126745400
11655a9771
1236544048
13203492a2
1412b9402c
15b1d92d5
hex78dfb38

126745400 has 48 divisors (see below), whose sum is σ = 295647000. Its totient is φ = 50532480.

The previous prime is 126745397. The next prime is 126745403. The reversal of 126745400 is 4547621.

It is an interprime number because it is at equal distance from previous prime (126745397) and next prime (126745403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126745403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73751 + ... + 75449.

Almost surely, 2126745400 is an apocalyptic number.

126745400 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 126745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147823500).

126745400 is an abundant number, since it is smaller than the sum of its proper divisors (168901600).

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

126745400 is a wasteful number, since it uses less digits than its factorization.

126745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 126745400 is about 11258.1259541719. The cubic root of 126745400 is about 502.3164515313.

The spelling of 126745400 in words is "one hundred twenty-six million, seven hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1699 1865 2984 3398 3730 6796 7460 8495 9325 13592 14920 16990 18650 33980 37300 42475 67960 74600 84950 169900 339800 633727 1267454 2534908 3168635 5069816 6337270 12674540 15843175 25349080 31686350 63372700 126745400