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127213086 = 237111359359
BaseRepresentation
bin1111001010100…
…01111000011110
322212101002112210
413211101320132
5230031304321
620342341250
73103202430
oct745217036
9285332483
10127213086
1165899090
123672a826
1320481120
1412c76650
15b27cb76
hex7951e1e

127213086 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 29900160.

The previous prime is 127213063. The next prime is 127213087. The reversal of 127213086 is 680312721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127213087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354175 + ... + 354533.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2127213086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127213086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

127213086 is an abundant number, since it is smaller than the sum of its proper divisors (221151714).

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

127213086 is a wasteful number, since it uses less digits than its factorization.

127213086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 127213086 is about 11278.8778697174. The cubic root of 127213086 is about 502.9335364018.

The spelling of 127213086 in words is "one hundred twenty-seven million, two hundred thirteen thousand, eighty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 59 66 77 78 91 118 143 154 177 182 231 273 286 354 359 413 429 462 546 649 718 767 826 858 1001 1077 1239 1298 1534 1947 2002 2154 2301 2478 2513 3003 3894 3949 4543 4602 4667 5026 5369 6006 7539 7898 8437 9086 9334 10738 11847 13629 14001 15078 16107 16874 21181 23694 25311 27258 27643 28002 32214 32669 42362 50622 51337 55286 59059 63543 65338 82929 98007 102674 118118 127086 148267 154011 165858 177177 196014 232991 275353 296534 308022 354354 359359 444801 465982 550706 698973 718718 826059 889602 1078077 1397946 1630937 1652118 1927471 2156154 3028883 3261874 3854942 4892811 5782413 6057766 9086649 9785622 11564826 18173298 21202181 42404362 63606543 127213086