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127421000 = 23537109167
BaseRepresentation
bin1111001100001…
…00101001001000
322212202122202022
413212010221020
5230104433000
620351024012
73105026540
oct746045110
9285678668
10127421000
1165a20313
123680b008
1320524955
1412ccc320
15b2be585
hex7984a48

127421000 has 128 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 43027200.

The previous prime is 127420987. The next prime is 127421017. The reversal of 127421000 is 124721.

It is a super-2 number, since 2×1274210002 = 32472222482000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127421000.

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 31 ways as a sum of consecutive naturals, for example, 762917 + ... + 763083.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2127421000 is an apocalyptic number.

127421000 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 127421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

127421000 is an abundant number, since it is smaller than the sum of its proper divisors (218524600).

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

127421000 is a wasteful number, since it uses less digits than its factorization.

127421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 127421000 is about 11288.0910697956. The cubic root of 127421000 is about 503.2073814152.

Adding to 127421000 its reverse (124721), we get a palindrome (127545721).

The spelling of 127421000 in words is "one hundred twenty-seven million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 125 140 167 175 200 218 250 280 334 350 436 500 545 668 700 763 835 872 875 1000 1090 1169 1336 1400 1526 1670 1750 2180 2338 2725 3052 3340 3500 3815 4175 4360 4676 5450 5845 6104 6680 7000 7630 8350 9352 10900 11690 13625 15260 16700 18203 19075 20875 21800 23380 27250 29225 30520 33400 36406 38150 41750 46760 54500 58450 72812 76300 83500 91015 95375 109000 116900 127421 145624 146125 152600 167000 182030 190750 233800 254842 292250 364060 381500 455075 509684 584500 637105 728120 763000 910150 1019368 1169000 1274210 1820300 2275375 2548420 3185525 3640600 4550750 5096840 6371050 9101500 12742100 15927625 18203000 25484200 31855250 63710500 127421000