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127214352 = 2432883433
BaseRepresentation
bin1111001010100…
…10001100010000
322212101011021200
413211102030100
5230031324402
620342351200
73103206216
oct745221420
9285334250
10127214352
116589a031
123672b500
1320481885
1412c76cb6
15b27d21c
hex7952310

127214352 has 30 divisors (see below), whose sum is σ = 356023902. Its totient is φ = 42404736.

The previous prime is 127214327. The next prime is 127214371. The reversal of 127214352 is 253412721.

It can be written as a sum of positive squares in only one way, i.e., 65999376 + 61214976 = 8124^2 + 7824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 441573 + ... + 441860.

Almost surely, 2127214352 is an apocalyptic number.

127214352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127214352 is an abundant number, since it is smaller than the sum of its proper divisors (228809550).

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

127214352 is a wasteful number, since it uses less digits than its factorization.

127214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883447 (or 883438 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 127214352 is about 11278.9339921821. The cubic root of 127214352 is about 502.9352047620.

The spelling of 127214352 in words is "one hundred twenty-seven million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 883433 1766866 2650299 3533732 5300598 7067464 7950897 10601196 14134928 15901794 21202392 31803588 42404784 63607176 127214352