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127427412 = 22374793167
BaseRepresentation
bin1111001100001…
…10001101010100
322212202222112210
413212012031110
5230110134122
620351113420
73105054330
oct746061524
9285688483
10127427412
1165a25112
1236812870
1320527848
1412cd07c0
15b2c140c
hex7986354

127427412 has 48 divisors (see below), whose sum is σ = 340623360. Its totient is φ = 36320352.

The previous prime is 127427401. The next prime is 127427437. The reversal of 127427412 is 214724721.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 127427412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38653 + ... + 41819.

It is an arithmetic number, because the mean of its divisors is an integer number (7096320).

Almost surely, 2127427412 is an apocalyptic number.

127427412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127427412 is an abundant number, since it is smaller than the sum of its proper divisors (213195948).

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

127427412 is a wasteful number, since it uses less digits than its factorization.

127427412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3658 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 127427412 is about 11288.3750823580. The cubic root of 127427412 is about 503.2158219695.

The spelling of 127427412 in words is "one hundred twenty-seven million, four hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 479 958 1437 1916 2874 3167 3353 5748 6334 6706 9501 10059 12668 13412 19002 20118 22169 38004 40236 44338 66507 88676 133014 266028 1516993 3033986 4550979 6067972 9101958 10618951 18203916 21237902 31856853 42475804 63713706 127427412