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127683945 = 345315269
BaseRepresentation
bin1111001110001…
…00110101101001
322220021000110000
413213010311221
5230141341240
620400413213
73110203254
oct747046551
9286230400
10127683945
116608a924
1236917209
13205b753c
1412d5a09b
15b322430
hex79c4d69

127683945 has 20 divisors (see below), whose sum is σ = 228886020. Its totient is φ = 68097888.

The previous prime is 127683937. The next prime is 127683949. The reversal of 127683945 is 549386721.

It can be written as a sum of positive squares in 2 ways, for example, as 78907689 + 48776256 = 8883^2 + 6984^2 .

It is not a de Polignac number, because 127683945 - 23 = 127683937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127683945.

It is not an unprimeable number, because it can be changed into a prime (127683949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157230 + ... + 158039.

It is an arithmetic number, because the mean of its divisors is an integer number (11444301).

Almost surely, 2127683945 is an apocalyptic number.

127683945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127683945 is a deficient number, since it is larger than the sum of its proper divisors (101202075).

127683945 is an equidigital number, since it uses as much as digits as its factorization.

127683945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315286 (or 315277 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 127683945 is about 11299.7320764698. The cubic root of 127683945 is about 503.5532818915.

The spelling of 127683945 in words is "one hundred twenty-seven million, six hundred eighty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 315269 945807 1576345 2837421 4729035 8512263 14187105 25536789 42561315 127683945