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127388142 = 2327347439
BaseRepresentation
bin1111001011111…
…00100111101110
322212200222200100
413211330213232
5230102410032
620350211530
73104532000
oct745744756
9285628610
10127388142
11659a8662
12367b3ba6
13205129cb
1412cc0370
15b2b497c
hex797c9ee

127388142 has 96 divisors (see below), whose sum is σ = 329472000. Its totient is φ = 35541072.

The previous prime is 127388137. The next prime is 127388153. The reversal of 127388142 is 241883721.

It is a junction number, because it is equal to n+sod(n) for n = 127388097 and 127388106.

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, 289959 + ... + 290397.

It is an arithmetic number, because the mean of its divisors is an integer number (3432000).

Almost surely, 2127388142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127388142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

127388142 is an abundant number, since it is smaller than the sum of its proper divisors (202083858).

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

127388142 is a wasteful number, since it uses less digits than its factorization.

127388142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 127388142 is about 11286.6355482934. The cubic root of 127388142 is about 503.1641237377.

The spelling of 127388142 in words is "one hundred twenty-seven million, three hundred eighty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 343 423 439 441 658 686 846 878 882 987 1029 1317 1974 2058 2303 2634 2961 3073 3087 3951 4606 5922 6146 6174 6909 7902 9219 13818 16121 18438 20633 20727 21511 27657 32242 41266 41454 43022 48363 55314 61899 64533 96726 123798 129066 144431 145089 150577 185697 193599 288862 290178 301154 371394 387198 433293 451731 866586 903462 1011017 1299879 1355193 2022034 2599758 2710386 3033051 6066102 7077119 9099153 14154238 18198306 21231357 42462714 63694071 127388142