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81170128 = 24131922347
BaseRepresentation
bin1001101011010…
…00111011010000
312122201212111001
410311220323100
5131234421003
612015431344
72003635414
oct465507320
9178655431
1081170128
1141900356
1223225554
1313a7cb80
14aaccd44
1571d561d
hex4d68ed0

81170128 has 120 divisors (see below), whose sum is σ = 190487808. Its totient is φ = 33225984.

The previous prime is 81170057. The next prime is 81170129. The reversal of 81170128 is 82107118.

It is a junction number, because it is equal to n+sod(n) for n = 81170096 and 81170105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81170129) 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 23 ways as a sum of consecutive naturals, for example, 1727001 + ... + 1727047.

Almost surely, 281170128 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 81170128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

81170128 is an abundant number, since it is smaller than the sum of its proper divisors (109317680).

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

81170128 is a wasteful number, since it uses less digits than its factorization.

81170128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 81170128 is about 9009.4465978771. The cubic root of 81170128 is about 432.9775815242.

The spelling of 81170128 in words is "eighty-one million, one hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 23 26 38 46 47 52 76 92 94 104 152 184 188 208 247 299 304 361 368 376 437 494 598 611 722 752 874 893 988 1081 1196 1222 1444 1748 1786 1976 2162 2392 2444 2888 3496 3572 3952 4324 4693 4784 4888 5681 5776 6992 7144 8303 8648 9386 9776 11362 11609 14053 14288 16606 16967 17296 18772 20539 22724 23218 28106 33212 33934 37544 41078 45448 46436 56212 66424 67868 75088 82156 90896 92872 107939 112424 132848 135736 164312 185744 215878 220571 224848 267007 271472 328624 390241 431756 441142 534014 780482 863512 882284 1068028 1560964 1727024 1764568 2136056 3121928 3529136 4272112 5073133 6243856 10146266 20292532 40585064 81170128