Search a number
-
+
127740942 = 23372232099
BaseRepresentation
bin1111001110100…
…10110000001110
322220100220122000
413213102300032
5230200202232
620401533130
73110531400
oct747226016
9286326560
10127740942
116611972a
12369441a6
1320607474
1412d72b70
15b33427c
hex79d2c0e

127740942 has 96 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 34893936.

The previous prime is 127740929. The next prime is 127740947. The reversal of 127740942 is 249047721.

It is a super-3 number, since 3×1277409423 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127740897 and 127740906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127740947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59809 + ... + 61907.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2127740942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127740942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

127740942 is an abundant number, since it is smaller than the sum of its proper divisors (216995058).

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

127740942 is a wasteful number, since it uses less digits than its factorization.

127740942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 127740942 is about 11302.2538460256. The cubic root of 127740942 is about 503.6281980105.

The spelling of 127740942 in words is "one hundred twenty-seven million, seven hundred forty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 322 378 414 441 483 621 882 966 1127 1242 1323 1449 2099 2254 2646 2898 3381 4198 4347 6297 6762 8694 10143 12594 14693 18891 20286 29386 30429 37782 44079 48277 56673 60858 88158 96554 102851 113346 132237 144831 205702 264474 289662 308553 337939 396711 434493 617106 675878 793422 868986 925659 1013817 1303479 1851318 2027634 2365573 2606958 2776977 3041451 4731146 5553954 6082902 7096719 9124353 14193438 18248706 21290157 42580314 63870471 127740942