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127279242 = 23331139547
BaseRepresentation
bin1111001011000…
…10000010001010
322212111110022000
413211202002022
5230040413432
620344011430
73103566336
oct745420212
9285443260
10127279242
1165933862
1236760b76
13204a527c
1412c927c6
15b29257c
hex796208a

127279242 has 64 divisors (see below), whose sum is σ = 294604800. Its totient is φ = 40687920.

The previous prime is 127279241. The next prime is 127279247. The reversal of 127279242 is 242972721.

It is a junction number, because it is equal to n+sod(n) for n = 127279197 and 127279206.

It is not an unprimeable number, because it can be changed into a prime (127279241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232413 + ... + 232959.

It is an arithmetic number, because the mean of its divisors is an integer number (4603200).

Almost surely, 2127279242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127279242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147302400).

127279242 is an abundant number, since it is smaller than the sum of its proper divisors (167325558).

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

127279242 is a wasteful number, since it uses less digits than its factorization.

127279242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

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

The square root of 127279242 is about 11281.8102270868. The cubic root of 127279242 is about 503.0207032862.

The spelling of 127279242 in words is "one hundred twenty-seven million, two hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 139 186 278 279 417 547 558 834 837 1094 1251 1641 1674 2502 3282 3753 4309 4923 7506 8618 9846 12927 14769 16957 25854 29538 33914 38781 50871 76033 77562 101742 116343 152066 152613 228099 232686 305226 456198 457839 684297 915678 1368594 2052891 2357023 4105782 4714046 7071069 14142138 21213207 42426414 63639621 127279242