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126000200 = 2352679403
BaseRepresentation
bin1111000001010…
…01110001001000
322210002110210002
413200221301020
5224224001300
620300342132
73056661344
oct740516110
9283073702
10126000200
116513a8a7
1236244948
1320148041
1412a3c624
15b0dd5d5
hex7829c48

126000200 has 48 divisors (see below), whose sum is σ = 297354480. Its totient is φ = 49642560.

The previous prime is 126000179. The next prime is 126000247. The reversal of 126000200 is 2000621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8699 + ... + 18101.

It is an arithmetic number, because the mean of its divisors is an integer number (6194885).

Almost surely, 2126000200 is an apocalyptic number.

126000200 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 126000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148677240).

126000200 is an abundant number, since it is smaller than the sum of its proper divisors (171354280).

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

126000200 is a wasteful number, since it uses less digits than its factorization.

126000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 126000200 is about 11224.9810690264. The cubic root of 126000200 is about 501.3300587502.

Adding to 126000200 its reverse (2000621), we get a palindrome (128000821).

The spelling of 126000200 in words is "one hundred twenty-six million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 9403 13400 18806 37612 47015 75224 94030 188060 235075 376120 470150 630001 940300 1260002 1880600 2520004 3150005 5040008 6300010 12600020 15750025 25200040 31500050 63000100 126000200