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129271338 = 23274783263
BaseRepresentation
bin1111011010010…
…00011000101010
3100000020122221100
413231020120222
5231043140323
620454422230
73126534240
oct755103052
9300218840
10129271338
1166a74519
1237361976
1320a21c21
1413250790
15b537943
hex7b4862a

129271338 has 96 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 35577504.

The previous prime is 129271321. The next prime is 129271367. The reversal of 129271338 is 833172921.

It is a super-2 number, since 2×1292713382 = 33422157656620488, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 491395 + ... + 491657.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2129271338 is an apocalyptic number.

129271338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129271338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

129271338 is an abundant number, since it is smaller than the sum of its proper divisors (202836438).

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

129271338 is a wasteful number, since it uses less digits than its factorization.

129271338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 129271338 is about 11369.7554063401. The cubic root of 129271338 is about 505.6314526922.

The spelling of 129271338 in words is "one hundred twenty-nine million, two hundred seventy-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 83 94 126 141 166 249 263 282 329 423 498 526 581 658 747 789 846 987 1162 1494 1578 1743 1841 1974 2367 2961 3486 3682 3901 4734 5229 5523 5922 7802 10458 11046 11703 12361 16569 21829 23406 24722 27307 33138 35109 37083 43658 54614 65487 70218 74166 81921 86527 111249 130974 152803 163842 173054 196461 222498 245763 259581 305606 392922 458409 491526 519162 778743 916818 1025963 1375227 1557486 2051926 2750454 3077889 6155778 7181741 9233667 14363482 18467334 21545223 43090446 64635669 129271338