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127481368 = 2371727877
BaseRepresentation
bin1111001100100…
…11011000011000
322212212201120011
413212103120120
5230113400433
620352211304
73105400540
oct746233030
9285781504
10127481368
1165a61703
1236839b34
1320546281
1412d06320
15b2d23cd
hex7993618

127481368 has 48 divisors (see below), whose sum is σ = 290225520. Its totient is φ = 51414528.

The previous prime is 127481363. The next prime is 127481383. The reversal of 127481368 is 863184721.

It is a self number, because there is not a number n which added to its sum of digits gives 127481368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127481363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12246 + ... + 20122.

It is an arithmetic number, because the mean of its divisors is an integer number (6046365).

Almost surely, 2127481368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127481368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145112760).

127481368 is an abundant number, since it is smaller than the sum of its proper divisors (162744152).

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

127481368 is a wasteful number, since it uses less digits than its factorization.

127481368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7903 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 127481368 is about 11290.7647216652. The cubic root of 127481368 is about 503.2868367304.

The spelling of 127481368 in words is "one hundred twenty-seven million, four hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 7877 8092 15754 16184 31508 55139 63016 110278 133909 220556 267818 441112 535636 937363 1071272 1874726 2276453 3749452 4552906 7498904 9105812 15935171 18211624 31870342 63740684 127481368