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126003996 = 22323500111
BaseRepresentation
bin1111000001010…
…10101100011100
322210002122222200
413200222230130
5224224111441
620300411500
73060005406
oct740525434
9283078880
10126003996
1165142738
1236246b90
13201499a1
1412a3db76
15b0de7b6
hex782ab1c

126003996 has 18 divisors (see below), whose sum is σ = 318510192. Its totient is φ = 42001320.

The previous prime is 126003971. The next prime is 126004001. The reversal of 126003996 is 699300621.

126003996 is a `hidden beast` number, since 1 + 260 + 0 + 399 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3500111 = 126003996 / (1 + 2 + 6 + 0 + 0 + 3 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 126003996.

It is a congruent number.

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, 1750020 + ... + 1750091.

Almost surely, 2126003996 is an apocalyptic number.

It is an amenable number.

126003996 is an abundant number, since it is smaller than the sum of its proper divisors (192506196).

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

126003996 is a wasteful number, since it uses less digits than its factorization.

126003996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500121 (or 3500116 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 126003996 is about 11225.1501548977. The cubic root of 126003996 is about 501.3350932125.

The spelling of 126003996 in words is "one hundred twenty-six million, three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3500111 7000222 10500333 14000444 21000666 31500999 42001332 63001998 126003996