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127631264 = 253988477
BaseRepresentation
bin1111001101101…
…11111110100000
322220011100011212
413212313332200
5230133200024
620355325252
73106563545
oct746677640
9286140155
10127631264
1166054292
12368b0828
1320599577
1412d44bcc
15b311a0e
hex79b7fa0

127631264 has 12 divisors (see below), whose sum is σ = 251274114. Its totient is φ = 63815616.

The previous prime is 127631249. The next prime is 127631279. The reversal of 127631264 is 462136721.

It is an interprime number because it is at equal distance from previous prime (127631249) and next prime (127631279).

It can be written as a sum of positive squares in only one way, i.e., 123387664 + 4243600 = 11108^2 + 2060^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3988477 = 127631264 / (1 + 2 + 7 + 6 + 3 + 1 + 2 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 127631264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1994207 + ... + 1994270.

Almost surely, 2127631264 is an apocalyptic number.

It is an amenable number.

127631264 is a deficient number, since it is larger than the sum of its proper divisors (123642850).

127631264 is an equidigital number, since it uses as much as digits as its factorization.

127631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988487 (or 3988479 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 127631264 is about 11297.4007630074. The cubic root of 127631264 is about 503.4840188383.

Adding to 127631264 its reverse (462136721), we get a palindrome (589767985).

The spelling of 127631264 in words is "one hundred twenty-seven million, six hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 3988477 7976954 15953908 31907816 63815632 127631264