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126053408 = 2513303013
BaseRepresentation
bin1111000001101…
…10110000100000
322210012011202202
413200312300200
5224232202113
620301432332
73060302435
oct740666040
9283164682
10126053408
1165176878
123626b6a8
1320166320
1412a53b8c
15b0ee258
hex7836c20

126053408 has 24 divisors (see below), whose sum is σ = 267258348. Its totient is φ = 58178304.

The previous prime is 126053399. The next prime is 126053423. The reversal of 126053408 is 804350621.

It can be written as a sum of positive squares in 2 ways, for example, as 113465104 + 12588304 = 10652^2 + 3548^2 .

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 3 ways as a sum of consecutive naturals, for example, 151091 + ... + 151922.

Almost surely, 2126053408 is an apocalyptic number.

It is an amenable number.

126053408 is an abundant number, since it is smaller than the sum of its proper divisors (141204940).

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

126053408 is a wasteful number, since it uses less digits than its factorization.

126053408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303036 (or 303028 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 126053408 is about 11227.3508896801. The cubic root of 126053408 is about 501.4006168812.

The spelling of 126053408 in words is "one hundred twenty-six million, fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 303013 606026 1212052 2424104 3939169 4848208 7878338 9696416 15756676 31513352 63026704 126053408