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126816240 = 2435528401
BaseRepresentation
bin1111000111100…
…00111111110000
322211121221011210
413203300333300
5224431104430
620330040120
73066630435
oct743607760
9284557153
10126816240
1165647a11
1236579040
13203725c5
1412bb1b8c
15b2002b0
hex78f0ff0

126816240 has 40 divisors (see below), whose sum is σ = 393131088. Its totient is φ = 33817600.

The previous prime is 126816229. The next prime is 126816259. The reversal of 126816240 is 42618621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126816198 and 126816207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263961 + ... + 264440.

Almost surely, 2126816240 is an apocalyptic number.

126816240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126816240 is an abundant number, since it is smaller than the sum of its proper divisors (266314848).

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

126816240 is a wasteful number, since it uses less digits than its factorization.

126816240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528417 (or 528411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126816240 is about 11261.2716866258. The cubic root of 126816240 is about 502.4100182932.

The spelling of 126816240 in words is "one hundred twenty-six million, eight hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 528401 1056802 1585203 2113604 2642005 3170406 4227208 5284010 6340812 7926015 8454416 10568020 12681624 15852030 21136040 25363248 31704060 42272080 63408120 126816240