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127243020 = 223543149331
BaseRepresentation
bin1111001010110…
…01001100001100
322212102121121110
413211121030030
5230033234040
620343132020
73103355622
oct745311414
9285377543
10127243020
1165909623
1236744010
1320491938
1412c83512
15b286980
hex795930c

127243020 has 96 divisors (see below), whose sum is σ = 368121600. Its totient is φ = 32820480.

The previous prime is 127242991. The next prime is 127243027. The reversal of 127243020 is 20342721.

It is a super-2 number, since 2×1272430202 = 32381572277440800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127243027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384255 + ... + 384585.

It is an arithmetic number, because the mean of its divisors is an integer number (3834600).

Almost surely, 2127243020 is an apocalyptic number.

127243020 is a gapful number since it is divisible by the number (10) 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 127243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184060800).

127243020 is an abundant number, since it is smaller than the sum of its proper divisors (240878580).

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

127243020 is a wasteful number, since it uses less digits than its factorization.

127243020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 127243020 is about 11280.2047853751. The cubic root of 127243020 is about 502.9729810645.

Adding to 127243020 its reverse (20342721), we get a palindrome (147585741).

The spelling of 127243020 in words is "one hundred twenty-seven million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 149 172 215 258 298 331 430 447 516 596 645 662 745 860 894 993 1290 1324 1490 1655 1788 1986 2235 2580 2980 3310 3972 4470 4965 6407 6620 8940 9930 12814 14233 19221 19860 25628 28466 32035 38442 42699 49319 56932 64070 71165 76884 85398 96105 98638 128140 142330 147957 170796 192210 197276 213495 246595 284660 295914 384420 426990 493190 591828 739785 853980 986380 1479570 2120717 2959140 4241434 6362151 8482868 10603585 12724302 21207170 25448604 31810755 42414340 63621510 127243020