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127471980 = 223523711301
BaseRepresentation
bin1111001100100…
…01000101101100
322212212020200110
413212101011230
5230113100410
620352100020
73105331266
oct746210554
9285766613
10127471980
1165a55649
1236834610
1320541c0c
1412d02b36
15b2ce720
hex799116c

127471980 has 96 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 32032000.

The previous prime is 127471979. The next prime is 127472017. The reversal of 127471980 is 89174721.

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 31 ways as a sum of consecutive naturals, for example, 97330 + ... + 98630.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2127471980 is an apocalyptic number.

127471980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127471980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

127471980 is an abundant number, since it is smaller than the sum of its proper divisors (250503828).

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

127471980 is a wasteful number, since it uses less digits than its factorization.

127471980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 127471980 is about 11290.3489760060. The cubic root of 127471980 is about 503.2744820549.

The spelling of 127471980 in words is "one hundred twenty-seven million, four hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 1065 1301 1380 1420 1633 2130 2602 3266 3903 4260 4899 5204 6505 6532 7806 8165 9798 13010 15612 16330 19515 19596 24495 26020 29923 32660 39030 48990 59846 78060 89769 92371 97980 119692 149615 179538 184742 277113 299230 359076 369484 448845 461855 554226 598460 897690 923710 1108452 1385565 1795380 1847420 2124533 2771130 4249066 5542260 6373599 8498132 10622665 12747198 21245330 25494396 31867995 42490660 63735990 127471980