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127665040 = 2451595813
BaseRepresentation
bin1111001110000…
…00001110010000
322220020001111211
413213000032100
5230140240130
620400145504
73110064166
oct747001620
9286201454
10127665040
11660776a8
1236908294
13205aba59
1412d53236
15b31ba2a
hex79c0390

127665040 has 20 divisors (see below), whose sum is σ = 296821404. Its totient is φ = 51065984.

The previous prime is 127665001. The next prime is 127665073. The reversal of 127665040 is 40566721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 43612816 = 9168^2 + 6604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 127664993 and 127665011.

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, 797827 + ... + 797986.

Almost surely, 2127665040 is an apocalyptic number.

127665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127665040 is an abundant number, since it is smaller than the sum of its proper divisors (169156364).

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

127665040 is a wasteful number, since it uses less digits than its factorization.

127665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595826 (or 1595820 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 127665040 is about 11298.8955212445. The cubic root of 127665040 is about 503.5284284806.

The spelling of 127665040 in words is "one hundred twenty-seven million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1595813 3191626 6383252 7979065 12766504 15958130 25533008 31916260 63832520 127665040