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91000080 = 24325211599
BaseRepresentation
bin1010110110010…
…00110100010000
320100020021122100
411123020310100
5141244000310
613010240400
72153326233
oct533106420
9210207570
1091000080
1147404786
1226586100
1315b12202
14c12b41a
157ec7ec0
hex56c8d10

91000080 has 120 divisors (see below), whose sum is σ = 307569600. Its totient is φ = 24111360.

The previous prime is 91000051. The next prime is 91000081. The reversal of 91000080 is 8000019.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91000081) 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 23 ways as a sum of consecutive naturals, for example, 151621 + ... + 152219.

It is an arithmetic number, because the mean of its divisors is an integer number (2563080).

Almost surely, 291000080 is an apocalyptic number.

91000080 is a gapful number since it is divisible by the number (90) 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 91000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153784800).

91000080 is an abundant number, since it is smaller than the sum of its proper divisors (216569520).

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

91000080 is a wasteful number, since it uses less digits than its factorization.

91000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 91000080 is about 9539.3962073079. The cubic root of 91000080 is about 449.7942763353.

Adding to 91000080 its reverse (8000019), we get a palindrome (99000099).

The spelling of 91000080 in words is "ninety-one million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 211 240 360 422 599 633 720 844 1055 1198 1266 1688 1797 1899 2110 2396 2532 2995 3165 3376 3594 3798 4220 4792 5064 5391 5990 6330 7188 7596 8440 8985 9495 9584 10128 10782 11980 12660 14376 15192 16880 17970 18990 21564 23960 25320 26955 28752 30384 35940 37980 43128 47920 50640 53910 71880 75960 86256 107820 126389 143760 151920 215640 252778 379167 431280 505556 631945 758334 1011112 1137501 1263890 1516668 1895835 2022224 2275002 2527780 3033336 3791670 4550004 5055560 5687505 6066672 7583340 9100008 10111120 11375010 15166680 18200016 22750020 30333360 45500040 91000080