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91680030 = 232513127617
BaseRepresentation
bin1010111011011…
…10110100011110
320101111211100200
411131232310132
5141432230110
613033004330
72162160501
oct535566436
9211454320
1091680030
1147829622
12268536a6
1315cbc850
14c267138
1580ae6c0
hex576ed1e

91680030 has 96 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 22353408.

The previous prime is 91680013. The next prime is 91680037. The reversal of 91680030 is 3008619.

It is a junction number, because it is equal to n+sod(n) for n = 91679976 and 91680003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91680037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148282 + ... + 148898.

It is an arithmetic number, because the mean of its divisors is an integer number (2699424).

Almost surely, 291680030 is an apocalyptic number.

91680030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91680030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572352).

91680030 is an abundant number, since it is smaller than the sum of its proper divisors (167464674).

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

91680030 is a wasteful number, since it uses less digits than its factorization.

91680030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 91680030 is about 9574.9689294535. The cubic root of 91680030 is about 450.9117809497.

Adding to 91680030 its reverse (3008619), we get a palindrome (94688649).

The spelling of 91680030 in words is "ninety-one million, six hundred eighty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 127 130 195 234 254 381 390 585 617 635 762 1143 1170 1234 1270 1651 1851 1905 2286 3085 3302 3702 3810 4953 5553 5715 6170 8021 8255 9255 9906 11106 11430 14859 16042 16510 18510 24063 24765 27765 29718 40105 48126 49530 55530 72189 74295 78359 80210 120315 144378 148590 156718 235077 240630 360945 391795 470154 705231 721890 783590 1018667 1175385 1410462 2037334 2350770 3056001 3526155 5093335 6112002 7052310 9168003 10186670 15280005 18336006 30560010 45840015 91680030