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127252000 = 2553291097
BaseRepresentation
bin1111001010110…
…11011000100000
322212110001221001
413211123120200
5230034031000
620343241344
73103424041
oct745333040
9285401831
10127252000
1165915347
1236749254
1320495a55
1412c868c8
15b28946a
hex795b620

127252000 has 96 divisors (see below), whose sum is σ = 323734320. Its totient is φ = 49100800.

The previous prime is 127251989. The next prime is 127252001. The reversal of 127252000 is 252721.

It can be written as a sum of positive squares in 8 ways, for example, as 824464 + 126427536 = 908^2 + 11244^2 .

It is not an unprimeable number, because it can be changed into a prime (127252001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115452 + ... + 116548.

Almost surely, 2127252000 is an apocalyptic number.

127252000 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 127252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161867160).

127252000 is an abundant number, since it is smaller than the sum of its proper divisors (196482320).

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

127252000 is a wasteful number, since it uses less digits than its factorization.

127252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 127252000 is about 11280.6028207716. The cubic root of 127252000 is about 502.9848129934.

It can be divided in two parts, 127 and 252000, that multiplied together give a triangular number (32004000 = T8000).

The spelling of 127252000 in words is "one hundred twenty-seven million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1097 1160 1450 2000 2194 2320 2900 3625 4000 4388 4640 5485 5800 7250 8776 10970 11600 14500 17552 21940 23200 27425 29000 31813 35104 43880 54850 58000 63626 87760 109700 116000 127252 137125 159065 175520 219400 254504 274250 318130 438800 509008 548500 636260 795325 877600 1018016 1097000 1272520 1590650 2194000 2545040 3181300 3976625 4388000 5090080 6362600 7953250 12725200 15906500 25450400 31813000 63626000 127252000