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127054668 = 2231317232083
BaseRepresentation
bin1111001001010…
…11001101001100
322212002001020110
413210223031030
5230011222133
620335120020
73101642526
oct744531514
9285061213
10127054668
11657a0064
1236673010
1320426ca0
1412c34a16
15b24ac63
hex792b34c

127054668 has 96 divisors (see below), whose sum is σ = 352912896. Its totient is φ = 35177472.

The previous prime is 127054661. The next prime is 127054699. The reversal of 127054668 is 866450721.

It is a super-2 number, since 2×1270546682 = 32285777321180448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (127054661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59955 + ... + 62037.

It is an arithmetic number, because the mean of its divisors is an integer number (3676176).

Almost surely, 2127054668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127054668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176456448).

127054668 is an abundant number, since it is smaller than the sum of its proper divisors (225858228).

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

127054668 is a wasteful number, since it uses less digits than its factorization.

127054668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 127054668 is about 11271.8529089054. The cubic root of 127054668 is about 502.7246825727.

The spelling of 127054668 in words is "one hundred twenty-seven million, fifty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1173 1196 1326 1564 1794 2083 2346 2652 3588 4166 4692 5083 6249 8332 10166 12498 15249 20332 24996 27079 30498 35411 47909 54158 60996 70822 81237 95818 106233 108316 141644 143727 162474 191636 212466 287454 324948 424932 460343 574908 622817 814453 920686 1245634 1381029 1628906 1841372 1868451 2443359 2491268 2762058 3257812 3736902 4886718 5524116 7473804 9773436 10587889 21175778 31763667 42351556 63527334 127054668