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127434006 = 23372172833
BaseRepresentation
bin1111001100001…
…11110100010110
322212210022121000
413212013310112
5230110342011
620351204130
73105112500
oct746076426
9285708530
10127434006
1165a2a067
1236816646
132052a84b
1412cd2d70
15b2c3356
hex7987d16

127434006 has 96 divisors (see below), whose sum is σ = 348922080. Its totient is φ = 34255872.

The previous prime is 127433987. The next prime is 127434011. The reversal of 127434006 is 600434721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43566 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (3634605).

Almost surely, 2127434006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127434006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174461040).

127434006 is an abundant number, since it is smaller than the sum of its proper divisors (221488074).

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

127434006 is a wasteful number, since it uses less digits than its factorization.

127434006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 127434006 is about 11288.6671489596. The cubic root of 127434006 is about 503.2245018076.

Adding to 127434006 its reverse (600434721), we get a palindrome (727868727).

The spelling of 127434006 in words is "one hundred twenty-seven million, four hundred thirty-four thousand, six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 2833 3213 4998 5666 6426 7497 8499 14994 16998 19831 22491 25497 39662 44982 48161 50994 59493 76491 96322 118986 138817 144483 152982 178479 277634 288966 337127 356958 416451 433449 535437 674254 832902 866898 1011381 1070874 1249353 1300347 2022762 2359889 2498706 2600694 3034143 3748059 4719778 6068286 7079667 7496118 9102429 14159334 18204858 21239001 42478002 63717003 127434006