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127388052 = 223411311153
BaseRepresentation
bin1111001011111…
…00100110010100
322212200222120000
413211330212110
5230102404202
620350211300
73104531511
oct745744624
9285628500
10127388052
11659a8590
12367b3b30
132051295c
1412cc0308
15b2b491c
hex797c994

127388052 has 120 divisors (see below), whose sum is σ = 375336192. Its totient is φ = 37324800.

The previous prime is 127388033. The next prime is 127388071. The reversal of 127388052 is 250883721.

It is an interprime number because it is at equal distance from previous prime (127388033) and next prime (127388071).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127387998 and 127388016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109908 + ... + 111060.

Almost surely, 2127388052 is an apocalyptic number.

127388052 is a gapful number since it is divisible by the number (12) 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 127388052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187668096).

127388052 is an abundant number, since it is smaller than the sum of its proper divisors (247948140).

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

127388052 is a wasteful number, since it uses less digits than its factorization.

127388052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 127388052 is about 11286.6315612764. The cubic root of 127388052 is about 503.1640052421.

The spelling of 127388052 in words is "one hundred twenty-seven million, three hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1153 1188 1364 1674 1782 2046 2306 2511 3069 3348 3459 3564 4092 4612 5022 6138 6918 9207 10044 10377 12276 12683 13836 18414 20754 25366 27621 31131 35743 36828 38049 41508 50732 55242 62262 71486 76098 93393 107229 110484 114147 124524 142972 152196 186786 214458 228294 321687 342441 373572 393173 428916 456588 643374 684882 786346 965061 1027323 1179519 1286748 1369764 1572692 1930122 2054646 2359038 2895183 3538557 3860244 4109292 4718076 5790366 7077114 10615671 11580732 14154228 21231342 31847013 42462684 63694026 127388052