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81130880 = 2751091163
BaseRepresentation
bin1001101010111…
…11010110000000
312122122212122102
410311133112000
5131232142010
612014525532
72003413115
oct465372600
9178585572
1081130880
1141883916
12232068a8
1313a6804c
14aabc90c
1571c8ba5
hex4d5f580

81130880 has 64 divisors (see below), whose sum is σ = 195901200. Its totient is φ = 32126976.

The previous prime is 81130877. The next prime is 81130921. The reversal of 81130880 is 8803118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 69179 + ... + 70341.

Almost surely, 281130880 is an apocalyptic number.

81130880 is a gapful number since it is divisible by the number (80) 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 81130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97950600).

81130880 is an abundant number, since it is smaller than the sum of its proper divisors (114770320).

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

81130880 is a wasteful number, since it uses less digits than its factorization.

81130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 81130880 is about 9007.2681763118. The cubic root of 81130880 is about 432.9077847314.

Adding to 81130880 its reverse (8803118), we get a palindrome (89933998).

The spelling of 81130880 in words is "eighty-one million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1163 1744 2180 2326 3488 4360 4652 5815 6976 8720 9304 11630 13952 17440 18608 23260 34880 37216 46520 69760 74432 93040 126767 148864 186080 253534 372160 507068 633835 744320 1014136 1267670 2028272 2535340 4056544 5070680 8113088 10141360 16226176 20282720 40565440 81130880