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127663900 = 225271314029
BaseRepresentation
bin1111001101111…
…11111100011100
322220012222221121
413212333330130
5230140221100
620400140324
73110060650
oct746777434
9286188847
10127663900
1166076861
12369076a4
13205ab390
1412d52a60
15b31b51a
hex79bff1c

127663900 has 72 divisors (see below), whose sum is σ = 340985120. Its totient is φ = 40400640.

The previous prime is 127663883. The next prime is 127663901. The reversal of 127663900 is 9366721.

127663900 = T273 + T274 + ... + T922.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127663901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086 + ... + 16114.

Almost surely, 2127663900 is an apocalyptic number.

127663900 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 127663900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170492560).

127663900 is an abundant number, since it is smaller than the sum of its proper divisors (213321220).

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

127663900 is a wasteful number, since it uses less digits than its factorization.

127663900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14063 (or 14056 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 127663900 is about 11298.8450737232. The cubic root of 127663900 is about 503.5269297040.

The spelling of 127663900 in words is "one hundred twenty-seven million, six hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 14029 28058 56116 70145 98203 140290 182377 196406 280580 350725 364754 392812 491015 701450 729508 911885 982030 1276639 1402900 1823770 1964060 2455075 2553278 3647540 4559425 4910150 5106556 6383195 9118850 9820300 12766390 18237700 25532780 31915975 63831950 127663900