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126145764 = 223213725577
BaseRepresentation
bin1111000010011…
…01010011100100
322210100212110100
413201031103210
5224243131024
620303424100
73061135623
oct741152344
9283325410
10126145764
116522a1a8
12362b5030
1320199384
1412a796ba
15b11b7c9
hex784d4e4

126145764 has 36 divisors (see below), whose sum is σ = 321208524. Its totient is φ = 41740032.

The previous prime is 126145757. The next prime is 126145781. The reversal of 126145764 is 467541621.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 92968164 = 5760^2 + 9642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 7857 + ... + 17720.

It is an arithmetic number, because the mean of its divisors is an integer number (8922459).

Almost surely, 2126145764 is an apocalyptic number.

It is an amenable number.

126145764 is an abundant number, since it is smaller than the sum of its proper divisors (195062760).

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

126145764 is a wasteful number, since it uses less digits than its factorization.

126145764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25724 (or 25719 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 126145764 is about 11231.4631281948. The cubic root of 126145764 is about 501.5230413131.

The spelling of 126145764 in words is "one hundred twenty-six million, one hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 25577 51154 76731 102308 153462 230193 306924 460386 920772 3504049 7008098 10512147 14016196 21024294 31536441 42048588 63072882 126145764