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127293984 = 2533147331
BaseRepresentation
bin1111001011001…
…01101000100000
322212112012112000
413211211220200
5230041401414
620344204000
73103660326
oct745455040
9285465460
10127293984
1165943944
1236769600
13204abbac
1412c97d16
15b296b09
hex7965a20

127293984 has 48 divisors (see below), whose sum is σ = 371276640. Its totient is φ = 42431040.

The previous prime is 127293953. The next prime is 127293997. The reversal of 127293984 is 489392721.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72802 + ... + 74529.

It is an arithmetic number, because the mean of its divisors is an integer number (7734930).

Almost surely, 2127293984 is an apocalyptic number.

It is an amenable number.

127293984 is an abundant number, since it is smaller than the sum of its proper divisors (243982656).

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

127293984 is a wasteful number, since it uses less digits than its factorization.

127293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147350 (or 147336 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 127293984 is about 11282.4635607654. The cubic root of 127293984 is about 503.0401231717.

The spelling of 127293984 in words is "one hundred twenty-seven million, two hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 147331 294662 441993 589324 883986 1178648 1325979 1767972 2357296 2651958 3535944 3977937 4714592 5303916 7071888 7955874 10607832 14143776 15911748 21215664 31823496 42431328 63646992 127293984