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127385380 = 2256369269
BaseRepresentation
bin1111001011110…
…11111100100100
322212200211220001
413211323330210
5230102313010
620350151044
73104520643
oct745737444
9285624801
10127385380
11659a6581
12367b2484
1320511685
1412cbd35a
15b2b3c3a
hex797bf24

127385380 has 12 divisors (see below), whose sum is σ = 267509340. Its totient is φ = 50954144.

The previous prime is 127385309. The next prime is 127385381. The reversal of 127385380 is 83583721.

It can be written as a sum of positive squares in 2 ways, for example, as 90516196 + 36869184 = 9514^2 + 6072^2 .

It is not an unprimeable number, because it can be changed into a prime (127385381) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 3184615 + ... + 3184654.

It is an arithmetic number, because the mean of its divisors is an integer number (22292445).

Almost surely, 2127385380 is an apocalyptic number.

127385380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127385380 is an abundant number, since it is smaller than the sum of its proper divisors (140123960).

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

127385380 is a wasteful number, since it uses less digits than its factorization.

127385380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369278 (or 6369276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 127385380 is about 11286.5131905297. The cubic root of 127385380 is about 503.1604872157.

It can be divided in two parts, 127385 and 380, that added together give a triangular number (127765 = T505).

The spelling of 127385380 in words is "one hundred twenty-seven million, three hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 6369269 12738538 25477076 31846345 63692690 127385380