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127010020 = 2256350501
BaseRepresentation
bin1111001001000…
…00010011100100
322211222202222211
413210200103210
5230003310040
620334133204
73101365414
oct744402344
9284882884
10127010020
116576a565
1236651204
132040c877
1412c22644
15b23c8ea
hex79204e4

127010020 has 12 divisors (see below), whose sum is σ = 266721084. Its totient is φ = 50804000.

The previous prime is 127009969. The next prime is 127010047. The reversal of 127010020 is 20010721.

It can be written as a sum of positive squares in 2 ways, for example, as 63393444 + 63616576 = 7962^2 + 7976^2 .

It is a super-2 number, since 2×1270100202 = 32263090360800800, which contains 22 as substring.

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, 3175231 + ... + 3175270.

It is an arithmetic number, because the mean of its divisors is an integer number (22226757).

Almost surely, 2127010020 is an apocalyptic number.

127010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127010020 is an abundant number, since it is smaller than the sum of its proper divisors (139711064).

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

127010020 is a wasteful number, since it uses less digits than its factorization.

127010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350510 (or 6350508 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 127010020 is about 11269.8722264274. The cubic root of 127010020 is about 502.6657885505.

Adding to 127010020 its reverse (20010721), we get a palindrome (147020741).

The spelling of 127010020 in words is "one hundred twenty-seven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 6350501 12701002 25402004 31752505 63505010 127010020