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126276400 = 2452315691
BaseRepresentation
bin1111000011011…
…01001100110000
322210121111122201
413201231030300
5224311321100
620310312544
73062221525
oct741551460
9283544581
10126276400
1165309368
1236358754
1320213983
1412ab114c
15b14536a
hex786d330

126276400 has 30 divisors (see below), whose sum is σ = 303380012. Its totient is φ = 50510400.

The previous prime is 126276389. The next prime is 126276419. The reversal of 126276400 is 4672621.

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 5 ways as a sum of consecutive naturals, for example, 157446 + ... + 158245.

Almost surely, 2126276400 is an apocalyptic number.

126276400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126276400 is an abundant number, since it is smaller than the sum of its proper divisors (177103612).

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

126276400 is a wasteful number, since it uses less digits than its factorization.

126276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315709 (or 315698 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 126276400 is about 11237.2772502951. The cubic root of 126276400 is about 501.6961066057.

The spelling of 126276400 in words is "one hundred twenty-six million, two hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 315691 631382 1262764 1578455 2525528 3156910 5051056 6313820 7892275 12627640 15784550 25255280 31569100 63138200 126276400